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226678272 = 293178681
BaseRepresentation
bin11011000001011…
…01011000000000
3120210112110010120
431200231120000
5431012201042
634254300240
75421506412
oct1540553000
9523473116
10226678272
11106a54817
1263ab7680
1337c68372
14221689b2
1514d78dec
hexd82d600

226678272 has 80 divisors (see below), whose sum is σ = 639481392. Its totient is φ = 71106560.

The previous prime is 226678237. The next prime is 226678273. The reversal of 226678272 is 272876622.

It is a super-4 number, since 4×2266782724 (a number of 35 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226678273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21772 + ... + 30452.

Almost surely, 2226678272 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 226678272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319740696).

226678272 is an abundant number, since it is smaller than the sum of its proper divisors (412803120).

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

226678272 is an equidigital number, since it uses as much as digits as its factorization.

226678272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8719 (or 8703 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 226678272 is about 15055.8384688466. The cubic root of 226678272 is about 609.7286905992.

The spelling of 226678272 in words is "two hundred twenty-six million, six hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2176 3264 4352 6528 8681 8704 13056 17362 26043 26112 34724 52086 69448 104172 138896 147577 208344 277792 295154 416688 442731 555584 590308 833376 885462 1111168 1180616 1666752 1770924 2222336 2361232 3333504 3541848 4444672 4722464 6667008 7083696 9444928 13334016 14167392 18889856 28334784 37779712 56669568 75559424 113339136 226678272