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252052250252 = 2211171917735171
BaseRepresentation
bin1110101010111101111…
…1000001111010001100
3220002120221202222012212
43222233133001322030
513112200334002002
6311442522245552
724132042530435
oct3525737017214
9802527688185
10252052250252
1197992a19240
1240a239568b8
131a9cb2cb95a
14c2b11cc48c
15685309d352
hex3aaf7c1e8c

252052250252 has 48 divisors (see below), whose sum is σ = 536311601280. Its totient is φ = 102154579200.

The previous prime is 252052250251. The next prime is 252052250299.

252052250252 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (252052250251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8853374 + ... + 8881797.

It is an arithmetic number, because the mean of its divisors is an integer number (11173158360).

Almost surely, 2252052250252 is an apocalyptic number.

252052250252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252052250252 is an abundant number, since it is smaller than the sum of its proper divisors (284259351028).

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

252052250252 is a wasteful number, since it uses less digits than its factorization.

252052250252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17735222 (or 17735220 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 32.

The spelling of 252052250252 in words is "two hundred fifty-two billion, fifty-two million, two hundred fifty thousand, two hundred fifty-two".

Divisors: 1 2 4 11 17 19 22 34 38 44 68 76 187 209 323 374 418 646 748 836 1292 3553 7106 14212 17735171 35470342 70940684 195086881 301497907 336968249 390173762 602995814 673936498 780347524 1205991628 1347872996 3316476977 3706650739 5728460233 6632953954 7413301478 11456920466 13265907908 14826602956 22913840932 63013062563 126026125126 252052250252