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212146422152 = 237106316632143
BaseRepresentation
bin1100010110010011101…
…0011000000110001000
3202021120211220212021112
43011210322120012020
511433433441002102
6241243030025452
721220120556330
oct3054472300610
9667524825245
10212146422152
1181a75140a15
12351474a8288
131700b8cc212
14a3a73360c0
1557b99b9252
hex3164e98188

212146422152 has 64 divisors (see below), whose sum is σ = 455513210880. Its totient is φ = 90737381952.

The previous prime is 212146422133. The next prime is 212146422179. The reversal of 212146422152 is 251224641212.

It is a super-2 number, since 2×2121464221522 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98993993 + ... + 98996135.

It is an arithmetic number, because the mean of its divisors is an integer number (7117393920).

Almost surely, 2212146422152 is an apocalyptic number.

It is an amenable number.

212146422152 is an abundant number, since it is smaller than the sum of its proper divisors (243366788728).

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

212146422152 is a wasteful number, since it uses less digits than its factorization.

212146422152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882 (or 4878 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The spelling of 212146422152 in words is "two hundred twelve billion, one hundred forty-six million, four hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 1063 1663 2126 2143 3326 4252 4286 6652 7441 8504 8572 11641 13304 14882 15001 17144 23282 29764 30002 46564 59528 60004 93128 120008 1767769 2278009 3535538 3563809 4556018 7071076 7127618 9112036 12374383 14142152 14255236 15946063 18224072 24748766 24946663 28510472 31892126 49497532 49893326 63784252 98995064 99786652 127568504 199573304 3788328967 7576657934 15153315868 26518302769 30306631736 53036605538 106073211076 212146422152