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212891136 = 2931731263
BaseRepresentation
bin11001011000001…
…11011000000000
3112211120222201220
430230013120000
5414000004021
633042555040
75163354603
oct1454073000
9484528656
10212891136
11aa198297
125b368a80
133514bab3
14203ba33a
1513a53cc6
hexcb07600

212891136 has 160 divisors (see below), whose sum is σ = 622245888. Its totient is φ = 64389120.

The previous prime is 212891101. The next prime is 212891179. The reversal of 212891136 is 631198212.

It is a junction number, because it is equal to n+sod(n) for n = 212891097 and 212891106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 809341 + ... + 809603.

Almost surely, 2212891136 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 212891136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311122944).

212891136 is an abundant number, since it is smaller than the sum of its proper divisors (409354752).

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

212891136 is a wasteful number, since it uses less digits than its factorization.

212891136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 316 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 212891136 is about 14590.7894234685. The cubic root of 212891136 is about 597.1075003730.

The spelling of 212891136 in words is "two hundred twelve million, eight hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 128 136 186 192 204 248 256 263 272 372 384 408 496 512 526 527 544 744 768 789 816 992 1052 1054 1088 1488 1536 1578 1581 1632 1984 2104 2108 2176 2976 3156 3162 3264 3968 4208 4216 4352 4471 5952 6312 6324 6528 7936 8153 8416 8432 8704 8942 11904 12624 12648 13056 13413 15872 16306 16832 16864 17884 23808 24459 25248 25296 26112 26826 32612 33664 33728 35768 47616 48918 50496 50592 53652 65224 67328 67456 71536 97836 100992 101184 107304 130448 134656 134912 138601 143072 195672 201984 202368 214608 260896 269824 277202 286144 391344 403968 404736 415803 429216 521792 554404 572288 782688 809472 831606 858432 1043584 1108808 1144576 1565376 1663212 1716864 2087168 2217616 2289152 3130752 3326424 3433728 4174336 4435232 6261504 6652848 6867456 8870464 12523008 13305696 17740928 26611392 35481856 53222784 70963712 106445568 212891136