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207315468 = 2232232271103
BaseRepresentation
bin11000101101101…
…10001000001100
3112110002201100200
430112312020030
5411033043333
632323253500
75065103163
oct1426661014
9473081320
10207315468
11a702a1a8
125951a290
1333c48c99
141d7683da
1513301c13
hexc5b620c

207315468 has 72 divisors (see below), whose sum is σ = 549739008. Its totient is φ = 65749728.

The previous prime is 207315467. The next prime is 207315499. The reversal of 207315468 is 864513702.

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 (207315467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187405 + ... + 188507.

It is an arithmetic number, because the mean of its divisors is an integer number (7635264).

Almost surely, 2207315468 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 207315468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274869504).

207315468 is an abundant number, since it is smaller than the sum of its proper divisors (342423540).

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

207315468 is a wasteful number, since it uses less digits than its factorization.

207315468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 207315468 is about 14398.4536669741. The cubic root of 207315468 is about 591.8485239122.

The spelling of 207315468 in words is "two hundred seven million, three hundred fifteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 227 276 414 454 681 828 908 1103 1362 2043 2206 2724 3309 4086 4412 5221 6618 8172 9927 10442 13236 15663 19854 20884 25369 31326 39708 46989 50738 62652 76107 93978 101476 152214 187956 228321 250381 304428 456642 500762 751143 913284 1001524 1502286 2253429 3004572 4506858 5758763 9013716 11517526 17276289 23035052 34552578 51828867 69105156 103657734 207315468