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210412314 = 232731103523
BaseRepresentation
bin11001000101010…
…10001100011010
3112122221001102200
430202222030122
5412331143224
632513511030
75133321660
oct1442521432
9478831380
10210412314
11a8854982
125a572476
1334791738
141dd32c30
15137145c9
hexc8aa31a

210412314 has 96 divisors (see below), whose sum is σ = 544088064. Its totient is φ = 57503520.

The previous prime is 210412297. The next prime is 210412333. The reversal of 210412314 is 413214012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402057 + ... + 402579.

It is an arithmetic number, because the mean of its divisors is an integer number (5667584).

Almost surely, 2210412314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210412314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272044032).

210412314 is an abundant number, since it is smaller than the sum of its proper divisors (333675750).

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

210412314 is a wasteful number, since it uses less digits than its factorization.

210412314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 210412314 is about 14505.5959546652. The cubic root of 210412314 is about 594.7809508384.

Adding to 210412314 its reverse (413214012), we get a palindrome (623626326).

The spelling of 210412314 in words is "two hundred ten million, four hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 103 126 186 206 217 279 309 434 523 558 618 651 721 927 1046 1302 1442 1569 1854 1953 2163 3138 3193 3661 3906 4326 4707 6386 6489 7322 9414 9579 10983 12978 16213 19158 21966 22351 28737 32426 32949 44702 48639 53869 57474 65898 67053 97278 107738 113491 134106 145917 161607 201159 226982 291834 323214 340473 377083 402318 484821 680946 754166 969642 1021419 1131249 1669939 2042838 2262498 3339878 3393747 5009817 6787494 10019634 11689573 15029451 23379146 30058902 35068719 70137438 105206157 210412314