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22053121040 = 2454325125541
BaseRepresentation
bin10100100010011101…
…111110110000010000
32002220220211121211202
4110202131332300100
5330131044333130
614044150530332
71410332302346
oct244235766020
962826747752
1022053121040
119397459275
1243356669a8
132105b60b62
1410d2c4b996
15891123145
hex52277ec10

22053121040 has 80 divisors (see below), whose sum is σ = 52677003456. Its totient is φ = 8581440000.

The previous prime is 22053121007. The next prime is 22053121127. The reversal of 22053121040 is 4012135022.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850670 + ... + 876210.

Almost surely, 222053121040 is an apocalyptic number.

22053121040 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 22053121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26338501728).

22053121040 is an abundant number, since it is smaller than the sum of its proper divisors (30623882416).

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

22053121040 is a wasteful number, since it uses less digits than its factorization.

22053121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25848 (or 25842 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 22053121040 its reverse (4012135022), we get a palindrome (26065256062).

The spelling of 22053121040 in words is "twenty-two billion, fifty-three million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 251 344 430 502 688 860 1004 1255 1720 2008 2510 3440 4016 5020 10040 10793 20080 21586 25541 43172 51082 53965 86344 102164 107930 127705 172688 204328 215860 255410 408656 431720 510820 863440 1021640 1098263 2043280 2196526 4393052 5491315 6410791 8786104 10982630 12821582 17572208 21965260 25643164 32053955 43930520 51286328 64107910 87861040 102572656 128215820 256431640 275664013 512863280 551328026 1102656052 1378320065 2205312104 2756640130 4410624208 5513280260 11026560520 22053121040