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315221868 = 223413671117
BaseRepresentation
bin10010110010011…
…110011101101100
3210222010221010000
4102302132131230
51121144044433
651140144300
710545225123
oct2262363554
9728127100
10315221868
11151a30945
1289698090
13503ca420
142dc16aba
151ca19113
hex12c9e76c

315221868 has 120 divisors (see below), whose sum is σ = 901492592. Its totient is φ = 95458176.

The previous prime is 315221861. The next prime is 315221887. The reversal of 315221868 is 868122513.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (315221861) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 281646 + ... + 282762.

Almost surely, 2315221868 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 315221868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450746296).

315221868 is an abundant number, since it is smaller than the sum of its proper divisors (586270724).

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

315221868 is a wasteful number, since it uses less digits than its factorization.

315221868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1202 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 315221868 is about 17754.4886718824. The cubic root of 315221868 is about 680.5689212271.

The spelling of 315221868 in words is "three hundred fifteen million, two hundred twenty-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 67 78 81 108 117 134 156 162 201 234 268 324 351 402 468 603 702 804 871 1053 1117 1206 1404 1742 1809 2106 2234 2412 2613 3351 3484 3618 4212 4468 5226 5427 6702 7236 7839 10053 10452 10854 13404 14521 15678 20106 21708 23517 29042 30159 31356 40212 43563 47034 58084 60318 70551 74839 87126 90477 94068 120636 130689 141102 149678 174252 180954 224517 261378 282204 299356 361908 392067 449034 522756 673551 784134 898068 972907 1176201 1347102 1568268 1945814 2020653 2352402 2694204 2918721 3891628 4041306 4704804 5837442 6061959 8082612 8756163 11674884 12123918 17512326 24247836 26268489 35024652 52536978 78805467 105073956 157610934 315221868