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22250877984 = 253325753331
BaseRepresentation
bin10100101110010000…
…010111010000100000
32010102200221201101000
4110232100113100200
5331032211043414
614115533312000
71415253225246
oct245620272040
963380851330
1022250877984
119489049a65
12438b935600
132137b111ba
141111208796
158a3687b09
hex52e417420

22250877984 has 48 divisors (see below), whose sum is σ = 64898396640. Its totient is φ = 7416959040.

The previous prime is 22250877983. The next prime is 22250878007. The reversal of 22250877984 is 48977805222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×222508779843 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 22250877984.

It is not an unprimeable number, because it can be changed into a prime (22250877983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12875802 + ... + 12877529.

It is an arithmetic number, because the mean of its divisors is an integer number (1352049930).

Almost surely, 222250877984 is an apocalyptic number.

22250877984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22250877984 is an abundant number, since it is smaller than the sum of its proper divisors (42647518656).

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

22250877984 is a wasteful number, since it uses less digits than its factorization.

22250877984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25753350 (or 25753336 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 22250877984 in words is "twenty-two billion, two hundred fifty million, eight hundred seventy-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 25753331 51506662 77259993 103013324 154519986 206026648 231779979 309039972 412053296 463559958 618079944 695339937 824106592 927119916 1236159888 1390679874 1854239832 2472319776 2781359748 3708479664 5562719496 7416959328 11125438992 22250877984