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22146312880 = 245535223187
BaseRepresentation
bin10100101000000001…
…011110101010110000
32010011102012021000101
4110220001132222300
5330323424003010
614101320202144
71412543360566
oct245001365260
963142167011
1022146312880
11943501a71a
124360909354
13211c25c863
141101389a36
158993d073a
hex52805eab0

22146312880 has 40 divisors (see below), whose sum is σ = 52461700272. Its totient is φ = 8691381504.

The previous prime is 22146312857. The next prime is 22146312899. The reversal of 22146312880 is 8821364122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2607354 + ... + 2615833.

Almost surely, 222146312880 is an apocalyptic number.

22146312880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22146312880 is an abundant number, since it is smaller than the sum of its proper divisors (30315387392).

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

22146312880 is a wasteful number, since it uses less digits than its factorization.

22146312880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5223253 (or 5223247 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 22146312880 in words is "twenty-two billion, one hundred forty-six million, three hundred twelve thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 5223187 10446374 20892748 26115935 41785496 52231870 83570992 104463740 208927480 276828911 417854960 553657822 1107315644 1384144555 2214631288 2768289110 4429262576 5536578220 11073156440 22146312880