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22421033340 = 2235312439043
BaseRepresentation
bin10100111000011001…
…011101000101111100
32010212120010111122020
4110320121131011330
5331404241031330
614144452320140
71422420432066
oct247031350574
963776114566
1022421033340
1195660a8222
124418913050
132164149144
141129a5c736
158b3599210
hex53865d17c

22421033340 has 144 divisors (see below), whose sum is σ = 66385275264. Its totient is φ = 5650888320.

The previous prime is 22421033333. The next prime is 22421033417. The reversal of 22421033340 is 4333012422.

It is a self number, because there is not a number n which added to its sum of digits gives 22421033340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2474859 + ... + 2483901.

It is an arithmetic number, because the mean of its divisors is an integer number (461008856).

Almost surely, 222421033340 is an apocalyptic number.

22421033340 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 22421033340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33192637632).

22421033340 is an abundant number, since it is smaller than the sum of its proper divisors (43964241924).

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

22421033340 is a wasteful number, since it uses less digits than its factorization.

22421033340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9160 (or 9127 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22421033340 its reverse (4333012422), we get a palindrome (26754045762).

The spelling of 22421033340 in words is "twenty-two billion, four hundred twenty-one million, thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 43 60 62 86 93 124 129 155 172 186 215 258 310 372 430 465 516 620 645 860 930 961 1290 1333 1860 1922 2580 2666 2883 3844 3999 4805 5332 5766 6665 7998 9043 9610 11532 13330 14415 15996 18086 19220 19995 26660 27129 28830 36172 39990 41323 45215 54258 57660 79980 82646 90430 108516 123969 135645 165292 180860 206615 247938 271290 280333 388849 413230 495876 542580 560666 619845 777698 826460 840999 1121332 1166547 1239690 1401665 1555396 1681998 1944245 2333094 2479380 2803330 3363996 3888490 4204995 4666188 5606660 5832735 7776980 8409990 8690323 11665470 12054319 16819980 17380646 23330940 24108638 26070969 34761292 36162957 43451615 48217276 52141938 60271595 72325914 86903230 104283876 120543190 130354845 144651828 173806460 180814785 241086380 260709690 361629570 373683889 521419380 723259140 747367778 1121051667 1494735556 1868419445 2242103334 3736838890 4484206668 5605258335 7473677780 11210516670 22421033340