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22856013040 = 2457110337003
BaseRepresentation
bin10101010010010100…
…110001010011110000
32011222212121202121111
4111102110301103300
5333302114404130
614255551403104
71436251622350
oct252224612360
964885552544
1022856013040
119769694983
12451a523494
1322032b7193
14116b72ab60
158db86c02a
hex5525314f0

22856013040 has 80 divisors (see below), whose sum is σ = 60788395008. Its totient is φ = 7829031168.

The previous prime is 22856013013. The next prime is 22856013043. The reversal of 22856013040 is 4031065822.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 22856012993 and 22856013011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22856013043) 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, 599179 + ... + 636181.

Almost surely, 222856013040 is an apocalyptic number.

22856013040 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 22856013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30394197504).

22856013040 is an abundant number, since it is smaller than the sum of its proper divisors (37932381968).

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

22856013040 is a wasteful number, since it uses less digits than its factorization.

22856013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38126 (or 38120 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 22856013040 its reverse (4031065822), we get a palindrome (26887078862).

The spelling of 22856013040 in words is "twenty-two billion, eight hundred fifty-six million, thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1103 2206 4412 5515 7721 8824 11030 15442 17648 22060 30884 37003 38605 44120 61768 74006 77210 88240 123536 148012 154420 185015 259021 296024 308840 370030 518042 592048 617680 740060 1036084 1295105 1480120 2072168 2590210 2960240 4144336 5180420 10360840 20721680 40814309 81628618 163257236 204071545 285700163 326514472 408143090 571400326 653028944 816286180 1142800652 1428500815 1632572360 2285601304 2857001630 3265144720 4571202608 5714003260 11428006520 22856013040