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226552896 = 2633433049
BaseRepresentation
bin11011000000011…
…10110001000000
3120210022002011000
431200032301000
5430444143041
634251452000
75420445033
oct1540166100
9523262130
10226552896
111069795a9
1263a57000
1337c2328b
142213501a
1514d51bb6
hexd80ec40

226552896 has 112 divisors (see below), whose sum is σ = 681736000. Its totient is φ = 73737216.

The previous prime is 226552883. The next prime is 226552957. The reversal of 226552896 is 698255622.

226552896 is a `hidden beast` number, since 2 + 2 + 6 + 552 + 8 + 96 = 666.

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, 72780 + ... + 75828.

Almost surely, 2226552896 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 226552896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340868000).

226552896 is an abundant number, since it is smaller than the sum of its proper divisors (455183104).

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

226552896 is a wasteful number, since it uses less digits than its factorization.

226552896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113 (or 3097 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 226552896 is about 15051.6741925940. The cubic root of 226552896 is about 609.6162559990.

The spelling of 226552896 in words is "two hundred twenty-six million, five hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 129 144 172 192 216 258 288 344 387 432 516 576 688 774 864 1032 1161 1376 1548 1728 2064 2322 2752 3049 3096 4128 4644 6098 6192 8256 9147 9288 12196 12384 18294 18576 24392 24768 27441 36588 37152 48784 54882 73176 74304 82323 97568 109764 131107 146352 164646 195136 219528 262214 292704 329292 393321 439056 524428 585408 658584 786642 878112 1048856 1179963 1317168 1573284 1756224 2097712 2359926 2634336 3146568 3539889 4195424 4719852 5268672 6293136 7079778 8390848 9439704 12586272 14159556 18879408 25172544 28319112 37758816 56638224 75517632 113276448 226552896