Search a number
-
+
22122110034240 = 263527783190847
BaseRepresentation
bin1010000011110101101001…
…00000101010000101000000
32220022212000212212210221120
411001322310200222011000
510344422040132043430
6115014431304552240
74442161336500456
oct501726440520500
986285025783846
1022122110034240
117059a30434997
1225934b5a82680
13c4614bc24628
14566a043929d6
152856a81b4610
hex141eb482a140

22122110034240 has 112 divisors (see below), whose sum is σ = 70491265907712. Its totient is φ = 5877932414976.

The previous prime is 22122110034209. The next prime is 22122110034247. The reversal of 22122110034240 is 4243001122122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22122110034240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122110034247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41329504 + ... + 41861343.

Almost surely, 222122110034240 is an apocalyptic number.

22122110034240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122110034240 is an abundant number, since it is smaller than the sum of its proper divisors (48369155873472).

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

22122110034240 is a wasteful number, since it uses less digits than its factorization.

22122110034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83191144 (or 83191134 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22122110034240 its reverse (4243001122122), we get a palindrome (26365111156362).

The spelling of 22122110034240 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred ten million, thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 277 320 480 554 831 960 1108 1385 1662 2216 2770 3324 4155 4432 5540 6648 8310 8864 11080 13296 16620 17728 22160 26592 33240 44320 53184 66480 88640 132960 265920 83190847 166381694 249572541 332763388 415954235 499145082 665526776 831908470 998290164 1247862705 1331053552 1663816940 1996580328 2495725410 2662107104 3327633880 3993160656 4991450820 5324214208 6655267760 7986321312 9982901640 13310535520 15972642624 19965803280 23043864619 26621071040 39931606560 46087729238 69131593857 79863213120 92175458476 115219323095 138263187714 184350916952 230438646190 276526375428 345657969285 368701833904 460877292380 553052750856 691315938570 737403667808 921754584760 1106105501712 1382631877140 1474807335616 1843509169520 2212211003424 2765263754280 3687018339040 4424422006848 5530527508560 7374036678080 11061055017120 22122110034240