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212555460 = 223513272507
BaseRepresentation
bin11001010101101…
…01011011000100
3112210221221021110
430222311123010
5413403233320
633031445020
75160456135
oct1452653304
9483857243
10212555460
11a9a89077
125b226770
1335062080
142032dc8c
15139d95e0
hexcab56c4

212555460 has 48 divisors (see below), whose sum is σ = 640938816. Its totient is φ = 52321152.

The previous prime is 212555449. The next prime is 212555467. The reversal of 212555460 is 64555212.

212555460 is digitally balanced in base 2, 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 (30).

It is not an unprimeable number, because it can be changed into a prime (212555467) 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, 135474 + ... + 137033.

It is an arithmetic number, because the mean of its divisors is an integer number (13352892).

Almost surely, 2212555460 is an apocalyptic number.

212555460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212555460 is an abundant number, since it is smaller than the sum of its proper divisors (428383356).

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

212555460 is a wasteful number, since it uses less digits than its factorization.

212555460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272532 (or 272530 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 212555460 is about 14579.2818753188. The cubic root of 212555460 is about 596.7935056267.

The spelling of 212555460 in words is "two hundred twelve million, five hundred fifty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 272507 545014 817521 1090028 1362535 1635042 2725070 3270084 3542591 4087605 5450140 7085182 8175210 10627773 14170364 16350420 17712955 21255546 35425910 42511092 53138865 70851820 106277730 212555460