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202430664 = 23351011031
BaseRepresentation
bin11000001000011…
…01100011001000
3112002220112200000
430010031203020
5403310240124
632030443000
75005426602
oct1404154310
9462815600
10202430664
11a42a3177
1257963460
1332c28777
141cc56172
1512b896c9
hexc10d8c8

202430664 has 96 divisors (see below), whose sum is σ = 574741440. Its totient is φ = 66744000.

The previous prime is 202430647. The next prime is 202430671. The reversal of 202430664 is 466034202.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195829 + ... + 196859.

It is an arithmetic number, because the mean of its divisors is an integer number (5986890).

Almost surely, 2202430664 is an apocalyptic number.

202430664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202430664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287370720).

202430664 is an abundant number, since it is smaller than the sum of its proper divisors (372310776).

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

202430664 is a wasteful number, since it uses less digits than its factorization.

202430664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 202430664 is about 14227.8130434723. The cubic root of 202430664 is about 587.1631159904.

Adding to 202430664 its reverse (466034202), we get a palindrome (668464866).

The spelling of 202430664 in words is "two hundred two million, four hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 101 108 162 202 216 243 303 324 404 486 606 648 808 909 972 1031 1212 1818 1944 2062 2424 2727 3093 3636 4124 5454 6186 7272 8181 8248 9279 10908 12372 16362 18558 21816 24543 24744 27837 32724 37116 49086 55674 65448 74232 83511 98172 104131 111348 167022 196344 208262 222696 250533 312393 334044 416524 501066 624786 668088 833048 937179 1002132 1249572 1874358 2004264 2499144 2811537 3748716 5623074 7497432 8434611 11246148 16869222 22492296 25303833 33738444 50607666 67476888 101215332 202430664