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214238052 = 223274192029
BaseRepresentation
bin11001100010100…
…00001101100100
3112221010102100200
430301100031210
5414321104202
633131510500
75210664510
oct1461201544
9487112320
10214238052
11aaa28246
125b8b8430
1335500ba2
142064b140
1513c1ce1c
hexcc50364

214238052 has 72 divisors (see below), whose sum is σ = 620692800. Its totient is φ = 61034688.

The previous prime is 214238021. The next prime is 214238093. The reversal of 214238052 is 250832412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104574 + ... + 106602.

Almost surely, 2214238052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214238052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310346400).

214238052 is an abundant number, since it is smaller than the sum of its proper divisors (406454748).

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

214238052 is a wasteful number, since it uses less digits than its factorization.

214238052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 214238052 is about 14636.8730267089. The cubic root of 214238052 is about 598.3641104961.

The spelling of 214238052 in words is "two hundred fourteen million, two hundred thirty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 419 838 1257 1676 2029 2514 2933 3771 4058 5028 5866 6087 7542 8116 8799 11732 12174 14203 15084 17598 18261 24348 26397 28406 35196 36522 42609 52794 56812 73044 85218 105588 127827 170436 255654 511308 850151 1700302 2550453 3400604 5100906 5951057 7651359 10201812 11902114 15302718 17853171 23804228 30605436 35706342 53559513 71412684 107119026 214238052