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22468250016 = 253326004919
BaseRepresentation
bin10100111011001101…
…100100100110100000
32010222211222100202000
4110323031210212200
5332003333000031
614153300324000
71423532655042
oct247315444640
963884870660
1022468250016
11958a817873
1244306a3600
132170b6b6c4
14113202da92
158b77c43e6
hex53b3649a0

22468250016 has 48 divisors (see below), whose sum is σ = 65532398400. Its totient is φ = 7489416384.

The previous prime is 22468250011. The next prime is 22468250033. The reversal of 22468250016 is 61005286422.

It is a happy number.

22468250016 is a `hidden beast` number, since 22 + 46 + 82 + 500 + 16 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22468250011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13001596 + ... + 13003323.

It is an arithmetic number, because the mean of its divisors is an integer number (1365258300).

Almost surely, 222468250016 is an apocalyptic number.

It is an amenable number.

22468250016 is an abundant number, since it is smaller than the sum of its proper divisors (43064148384).

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

22468250016 is a wasteful number, since it uses less digits than its factorization.

22468250016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26004938 (or 26004924 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

It can be divided in two parts, 22468 and 250016, that added together give a square (272484 = 5222).

The spelling of 22468250016 in words is "twenty-two billion, four hundred sixty-eight million, two hundred fifty thousand, sixteen".

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 26004919 52009838 78014757 104019676 156029514 208039352 234044271 312059028 416078704 468088542 624118056 702132813 832157408 936177084 1248236112 1404265626 1872354168 2496472224 2808531252 3744708336 5617062504 7489416672 11234125008 22468250016