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216934536 = 233713711399
BaseRepresentation
bin11001110111000…
…10100010001000
3120010012102020110
430323202202020
5421013401121
633305354320
75242625130
oct1473424210
9503172213
10216934536
111014aa145
12607989a0
1335c36340
1420b4dac0
15140a1d76
hexcee2888

216934536 has 128 divisors (see below), whose sum is σ = 677376000. Its totient is φ = 56367360.

The previous prime is 216934519. The next prime is 216934537. The reversal of 216934536 is 635439612.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 216934494 and 216934503.

It is not an unprimeable number, because it can be changed into a prime (216934537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154365 + ... + 155763.

It is an arithmetic number, because the mean of its divisors is an integer number (5292000).

Almost surely, 2216934536 is an apocalyptic number.

216934536 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 216934536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338688000).

216934536 is an abundant number, since it is smaller than the sum of its proper divisors (460441464).

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

216934536 is a wasteful number, since it uses less digits than its factorization.

216934536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1495 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 216934536 is about 14728.6977021052. The cubic root of 216934536 is about 600.8640661632.

It can be divided in two parts, 216934 and 536, that added together give a triangular number (217470 = T659).

The spelling of 216934536 in words is "two hundred sixteen million, nine hundred thirty-four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 71 78 84 91 104 142 156 168 182 213 273 284 312 364 426 497 546 568 728 852 923 994 1092 1399 1491 1704 1846 1988 2184 2769 2798 2982 3692 3976 4197 5538 5596 5964 6461 7384 8394 9793 11076 11192 11928 12922 16788 18187 19383 19586 22152 25844 29379 33576 36374 38766 39172 51688 54561 58758 72748 77532 78344 99329 109122 117516 127309 145496 155064 198658 218244 235032 254618 297987 381927 397316 436488 509236 595974 695303 763854 794632 1018472 1191948 1291277 1390606 1527708 2085909 2383896 2582554 2781212 3055416 3873831 4171818 5165108 5562424 7747662 8343636 9038939 10330216 15495324 16687272 18077878 27116817 30990648 36155756 54233634 72311512 108467268 216934536