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214310694 = 231347531103
BaseRepresentation
bin11001100011000…
…01111100100110
3112221021010000010
430301201330212
5414330420234
633133231050
75211416343
oct1461417446
9487233003
10214310694
11aaa77884
125b932486
1335527c80
14206697ca
1513c346e9
hexcc61f26

214310694 has 64 divisors (see below), whose sum is σ = 480743424. Its totient is φ = 63263616.

The previous prime is 214310669. The next prime is 214310713. The reversal of 214310694 is 496013412.

214310694 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193747 + ... + 194849.

It is an arithmetic number, because the mean of its divisors is an integer number (7511616).

Almost surely, 2214310694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214310694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240371712).

214310694 is an abundant number, since it is smaller than the sum of its proper divisors (266432730).

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

214310694 is a wasteful number, since it uses less digits than its factorization.

214310694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 214310694 is about 14639.3542890388. The cubic root of 214310694 is about 598.4317322429.

The spelling of 214310694 in words is "two hundred fourteen million, three hundred ten thousand, six hundred ninety-four".

Divisors: 1 2 3 6 13 26 39 47 53 78 94 106 141 159 282 318 611 689 1103 1222 1378 1833 2067 2206 2491 3309 3666 4134 4982 6618 7473 14339 14946 28678 32383 43017 51841 58459 64766 86034 97149 103682 116918 155523 175377 194298 311046 350754 673933 759967 1347866 1519934 2021799 2279901 2747573 4043598 4559802 5495146 8242719 16485438 35718449 71436898 107155347 214310694