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22070665344 = 2737131753701
BaseRepresentation
bin10100100011100000…
…111010000010000000
32002222010211222002210
4110203200322002000
5330200042242334
614050014542120
71410634363050
oct244340720200
962863758083
1022070665344
1193a63515a2
12433b507940
1321096945c0
1410d52d7560
1589293b5e9
hex52383a080

22070665344 has 512 divisors, whose sum is σ = 77950978560. Its totient is φ = 5367398400.

The previous prime is 22070665321. The next prime is 22070665349. The reversal of 22070665344 is 44356607022.

It is a super-2 number, since 2×220706653442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (22070665349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31484194 + ... + 31484894.

It is an arithmetic number, because the mean of its divisors is an integer number (152248005).

Almost surely, 222070665344 is an apocalyptic number.

22070665344 is a gapful number since it is divisible by the number (24) 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 22070665344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38975489280).

22070665344 is an abundant number, since it is smaller than the sum of its proper divisors (55880313216).

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

22070665344 is a wasteful number, since it uses less digits than its factorization.

22070665344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 22070665344 in words is "twenty-two billion, seventy million, six hundred sixty-five thousand, three hundred forty-four".