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213998292 = 223219312863
BaseRepresentation
bin11001100000101…
…01101011010100
3112220200020110200
430300111223110
5414240421132
633122420500
75205645504
oct1460255324
9486606420
10213998292
11aa8840a2
125b801730
1335448a11
14205c7a04
1513bc1d7c
hexcc15ad4

213998292 has 36 divisors (see below), whose sum is σ = 569412480. Its totient is φ = 67578192.

The previous prime is 213998287. The next prime is 213998293. The reversal of 213998292 is 292899312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213998293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155748 + ... + 157115.

Almost surely, 2213998292 is an apocalyptic number.

It is an amenable number.

213998292 is an abundant number, since it is smaller than the sum of its proper divisors (355414188).

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

213998292 is a wasteful number, since it uses less digits than its factorization.

213998292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312892 (or 312887 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 213998292 is about 14628.6804599731. The cubic root of 213998292 is about 598.1408116482.

The spelling of 213998292 in words is "two hundred thirteen million, nine hundred ninety-eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 312863 625726 938589 1251452 1877178 2815767 3754356 5631534 5944397 11263068 11888794 17833191 23777588 35666382 53499573 71332764 106999146 213998292