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212504136 = 233135371181
BaseRepresentation
bin11001010101010…
…00111001001000
3112210212022212120
430222220321020
5413400113021
633030411240
75160153405
oct1452507110
9483768776
10212504136
11a9a53559
125b200b20
13350448c0
14203192ac
15139c92c6
hexcaa8e48

212504136 has 128 divisors (see below), whose sum is σ = 594397440. Its totient is φ = 62899200.

The previous prime is 212504081. The next prime is 212504177. The reversal of 212504136 is 631405212.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1173966 + ... + 1174146.

It is an arithmetic number, because the mean of its divisors is an integer number (4643730).

Almost surely, 2212504136 is an apocalyptic number.

212504136 is a gapful number since it is divisible by the number (26) 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 212504136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).

212504136 is an abundant number, since it is smaller than the sum of its proper divisors (381893304).

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

212504136 is a wasteful number, since it uses less digits than its factorization.

212504136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 212504136 is about 14577.5216000526. The cubic root of 212504136 is about 596.7454675044.

Adding to 212504136 its reverse (631405212), we get a palindrome (843909348).

The spelling of 212504136 in words is "two hundred twelve million, five hundred four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 71 78 104 106 142 156 159 181 212 213 284 312 318 362 424 426 543 568 636 689 724 852 923 1086 1272 1378 1448 1704 1846 2067 2172 2353 2756 2769 3692 3763 4134 4344 4706 5512 5538 7059 7384 7526 8268 9412 9593 11076 11289 12851 14118 15052 16536 18824 19186 22152 22578 25702 28236 28779 30104 38372 38553 45156 48919 51404 56472 57558 76744 77106 90312 97838 102808 115116 124709 146757 154212 167063 195676 230232 249418 293514 308424 334126 374127 391352 498836 501189 587028 668252 681103 748254 997672 1002378 1174056 1336504 1362206 1496508 2004756 2043309 2724412 2993016 4009512 4086618 5448824 8173236 8854339 16346472 17708678 26563017 35417356 53126034 70834712 106252068 212504136