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252010220 = 225711163643
BaseRepresentation
bin11110000010101…
…01111011101100
3122120012110000212
433001111323230
51004003311340
641001241552
76150023450
oct1701257354
9576173025
10252010220
1111a287010
12704932b8
1340297697
1425680660
15171cea65
hexf055eec

252010220 has 48 divisors (see below), whose sum is σ = 659812608. Its totient is φ = 78548160.

The previous prime is 252010211. The next prime is 252010223. The reversal of 252010220 is 22010252.

252010220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 252010195 and 252010204.

It is not an unprimeable number, because it can be changed into a prime (252010223) 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, 80282 + ... + 83361.

It is an arithmetic number, because the mean of its divisors is an integer number (13746096).

Almost surely, 2252010220 is an apocalyptic number.

252010220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252010220 is an abundant number, since it is smaller than the sum of its proper divisors (407802388).

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

252010220 is a wasteful number, since it uses less digits than its factorization.

252010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163670 (or 163668 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 252010220 is about 15874.8297628668. The cubic root of 252010220 is about 631.6444984326.

Adding to 252010220 its reverse (22010252), we get a palindrome (274020472).

The spelling of 252010220 in words is "two hundred fifty-two million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 163643 327286 654572 818215 1145501 1636430 1800073 2291002 3272860 3600146 4582004 5727505 7200292 9000365 11455010 12600511 18000730 22910020 25201022 36001460 50402044 63002555 126005110 252010220