Search a number
-
+
22223414420240 = 245111271571266557
BaseRepresentation
bin1010000110110010010101…
…01110001110001100010000
32220200112111221221211101212
411003121022232032030100
510403102023042421430
6115133143505315252
74452405632534555
oct503311256161420
986615457854355
1022223414420240
117098996093550
1225ab068635b28
13c52874a464b7
1456b894756a2c
15288136ba8b95
hex14364ab8e310

22223414420240 has 160 divisors (see below), whose sum is σ = 57172387590144. Its totient is φ = 7966535915520.

The previous prime is 22223414420227. The next prime is 22223414420293. The reversal of 22223414420240 is 4202441432222.

It is a junction number, because it is equal to n+sod(n) for n = 22223414420197 and 22223414420206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16913042 + ... + 18179598.

Almost surely, 222223414420240 is an apocalyptic number.

22223414420240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22223414420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28586193795072).

22223414420240 is an abundant number, since it is smaller than the sum of its proper divisors (34948973169904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22223414420240 is a wasteful number, since it uses less digits than its factorization.

22223414420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266865 (or 1266859 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 22223414420240 its reverse (4202441432222), we get a palindrome (26425855852462).

The spelling of 22223414420240 in words is "twenty-two trillion, two hundred twenty-three billion, four hundred fourteen million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 127 157 176 220 254 314 440 508 628 635 785 880 1016 1256 1270 1397 1570 1727 2032 2512 2540 2794 3140 3454 5080 5588 6280 6908 6985 8635 10160 11176 12560 13816 13970 17270 19939 22352 27632 27940 34540 39878 55880 69080 79756 99695 111760 138160 159512 199390 219329 319024 398780 438658 797560 877316 1096645 1266557 1595120 1754632 2193290 2533114 3509264 4386580 5066228 6332785 8773160 10132456 12665570 13932127 17546320 20264912 25331140 27864254 50662280 55728508 69660635 101324560 111457016 139321270 160852739 198849449 222914032 278642540 321705478 397698898 557285080 643410956 795397796 804263695 994247245 1114570160 1286821912 1590795592 1608527390 1769380129 1988494490 2187343939 2573643824 3181591184 3217054780 3538760258 3976988980 4374687878 6434109560 7077520516 7953977960 8749375756 8846900645 10936719695 12868219120 14155041032 15907955920 17498751512 17693801290 21873439390 25253880023 28310082064 34997503024 35387602580 43746878780 50507760046 70775205160 87493757560 101015520092 126269400115 141550410320 174987515120 202031040184 252538800230 277792680253 404062080368 505077600460 555585360506 1010155200920 1111170721012 1388963401265 2020310401840 2222341442024 2777926802530 4444682884048 5555853605060 11111707210120 22223414420240