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231296634216 = 233319239235811
BaseRepresentation
bin1101011101101001011…
…0101000110101101000
3211010000110102102122000
43113122112220311220
512242143414243331
6254131201331000
722465513644354
oct3273226506550
9733013372560
10231296634216
118a101a1375a
12389b0936a60
1318a7121124b
14b2a2812464
15603ad260e6
hex35da5a8d68

231296634216 has 128 divisors (see below), whose sum is σ = 679138560000. Its totient is φ = 72735122880.

The previous prime is 231296634181. The next prime is 231296634251. The reversal of 231296634216 is 612436692132.

231296634216 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 9 + 6 + 634 + 2 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (231296634181) and next prime (231296634251).

It is a nude number because it is divisible by every one of its digits.

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, 862951 + ... + 1098761.

It is an arithmetic number, because the mean of its divisors is an integer number (5305770000).

Almost surely, 2231296634216 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 231296634216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339569280000).

231296634216 is an abundant number, since it is smaller than the sum of its proper divisors (447841925784).

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

231296634216 is a wasteful number, since it uses less digits than its factorization.

231296634216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236084 (or 236074 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 231296634216 in words is "two hundred thirty-one billion, two hundred ninety-six million, six hundred thirty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 239 342 456 478 513 684 717 956 1026 1368 1434 1912 2052 2151 2868 4104 4302 4541 5736 6453 8604 9082 12906 13623 17208 18164 25812 27246 36328 40869 51624 54492 81738 108984 122607 163476 235811 245214 326952 471622 490428 707433 943244 980856 1414866 1886488 2122299 2829732 4244598 4480409 5659464 6366897 8489196 8960818 12733794 13441227 16978392 17921636 25467588 26882454 35843272 40323681 50935176 53764908 56358829 80647362 107529816 112717658 120971043 161294724 169076487 225435316 241942086 322589448 338152974 450870632 483884172 507229461 676305948 967768344 1014458922 1070817751 1352611896 1521688383 2028917844 2141635502 3043376766 3212453253 4057835688 4283271004 6086753532 6424906506 8566542008 9637359759 12173507064 12849813012 19274719518 25699626024 28912079277 38549439036 57824158554 77098878072 115648317108 231296634216