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264214236 = 2231113791949
BaseRepresentation
bin11111011111110…
…01011011011100
3200102011110210110
433233321123130
51020114323421
642115010020
76355532616
oct1757713334
9612143713
10264214236
11126162080
1274599910
134297b4b0
1427139db6
15182e0a76
hexfbf96dc

264214236 has 96 divisors (see below), whose sum is σ = 733824000. Its totient is φ = 72933120.

The previous prime is 264214199. The next prime is 264214243. The reversal of 264214236 is 632412462.

It is a super-3 number, since 3×2642142363 (a number of 26 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 134590 + ... + 136538.

It is an arithmetic number, because the mean of its divisors is an integer number (7644000).

Almost surely, 2264214236 is an apocalyptic number.

264214236 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 264214236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366912000).

264214236 is an abundant number, since it is smaller than the sum of its proper divisors (469609764).

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

264214236 is a wasteful number, since it uses less digits than its factorization.

264214236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2057 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 264214236 is about 16254.6681294944. The cubic root of 264214236 is about 641.6803466884.

Adding to 264214236 its reverse (632412462), we get a palindrome (896626698).

The spelling of 264214236 in words is "two hundred sixty-four million, two hundred fourteen thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 79 132 143 156 158 237 286 316 429 474 572 858 869 948 1027 1716 1738 1949 2054 2607 3081 3476 3898 4108 5214 5847 6162 7796 10428 11297 11694 12324 21439 22594 23388 25337 33891 42878 45188 50674 64317 67782 76011 85756 101348 128634 135564 152022 153971 257268 278707 304044 307942 461913 557414 615884 836121 923826 1114828 1672242 1693681 1847652 2001623 3344484 3387362 4003246 5081043 6004869 6774724 8006492 10162086 12009738 20324172 22017853 24019476 44035706 66053559 88071412 132107118 264214236