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226323648 = 2632392923
BaseRepresentation
bin11010111110101…
…10110011000000
3120202212102200100
431133112303000
5430414324043
634242522400
75415501465
oct1537266300
9522772610
10226323648
11106832341
1263966400
1337b72b25
14220b566c
1514d08cd3
hexd7d6cc0

226323648 has 42 divisors (see below), whose sum is σ = 648717524. Its totient is φ = 75441024.

The previous prime is 226323641. The next prime is 226323673. The reversal of 226323648 is 846323622.

226323648 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 2 + 3 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (226323641) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 195886 + ... + 197037.

Almost surely, 2226323648 is an apocalyptic number.

It is an amenable number.

226323648 is an abundant number, since it is smaller than the sum of its proper divisors (422393876).

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

226323648 is a wasteful number, since it uses less digits than its factorization.

226323648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392941 (or 392928 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 226323648 is about 15044.0568996531. The cubic root of 226323648 is about 609.4105638258.

The spelling of 226323648 in words is "two hundred twenty-six million, three hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 392923 785846 1178769 1571692 2357538 3143384 3536307 4715076 6286768 7072614 9430152 12573536 14145228 18860304 25147072 28290456 37720608 56580912 75441216 113161824 226323648