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226239168 = 2634367409
BaseRepresentation
bin11010111110000…
…10001011000000
3120202201010210110
431133002023000
5430404123133
634241031320
75415000261
oct1537021300
9522633713
10226239168
11106784921
1263925540
1337b4353c
1422092968
1514cddc63
hexd7c22c0

226239168 has 112 divisors (see below), whose sum is σ = 623173760. Its totient is φ = 72382464.

The previous prime is 226239163. The next prime is 226239199. The reversal of 226239168 is 861932622.

It is a happy number.

It is a super-2 number, since 2×2262391682 = 102368322274664448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226239161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552948 + ... + 553356.

Almost surely, 2226239168 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 226239168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311586880).

226239168 is an abundant number, since it is smaller than the sum of its proper divisors (396934592).

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

226239168 is a wasteful number, since it uses less digits than its factorization.

226239168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 524 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 226239168 is about 15041.2488843181. The cubic root of 226239168 is about 609.3347293414.

It can be divided in two parts, 2262 and 39168, that multiplied together give a triangular number (88598016 = T13311).

The spelling of 226239168 in words is "two hundred twenty-six million, two hundred thirty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 67 86 96 129 134 172 192 201 258 268 344 402 409 516 536 688 804 818 1032 1072 1227 1376 1608 1636 2064 2144 2454 2752 2881 3216 3272 4128 4288 4908 5762 6432 6544 8256 8643 9816 11524 12864 13088 17286 17587 19632 23048 26176 27403 34572 35174 39264 46096 52761 54806 69144 70348 78528 82209 92192 105522 109612 138288 140696 164418 184384 211044 219224 276576 281392 328836 422088 438448 553152 562784 657672 844176 876896 1125568 1178329 1315344 1688352 1753792 2356658 2630688 3376704 3534987 4713316 5261376 7069974 9426632 14139948 18853264 28279896 37706528 56559792 75413056 113119584 226239168