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22072696820 = 22513922392
BaseRepresentation
bin10100100011101000…
…101001111111110100
32002222021200011202122
4110203220221333310
5330201102244240
614050130255112
71410660553526
oct244350517764
962867604678
1022072696820
1193a75098a9
124340127498
132109c26165
1410d56a5a16
15892bdd4b5
hex523a29ff4

22072696820 has 54 divisors (see below), whose sum is σ = 46884701682. Its totient is φ = 8728884192.

The previous prime is 22072696813. The next prime is 22072696831. The reversal of 22072696820 is 2869627022.

It can be written as a sum of positive squares in only one way, i.e., 17658157456 + 4414539364 = 132884^2 + 66442^2 .

It is a super-2 number, since 2×220726968202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 92354261 + ... + 92354499.

Almost surely, 222072696820 is an apocalyptic number.

22072696820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22072696820 is an abundant number, since it is smaller than the sum of its proper divisors (24812004862).

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

22072696820 is an equidigital number, since it uses as much as digits as its factorization.

22072696820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 22072696820 in words is "twenty-two billion, seventy-two million, six hundred ninety-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 139 239 278 478 556 695 956 1195 1390 2390 2780 4780 19321 33221 38642 57121 66442 77284 96605 114242 132884 166105 193210 228484 285605 332210 386420 571210 664420 1142420 4617719 7939819 9235438 15879638 18470876 23088595 31759276 39699095 46177190 79398190 92354380 158796380 1103634841 2207269682 4414539364 5518174205 11036348410 22072696820