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226850688 = 2732196919
BaseRepresentation
bin11011000010101…
…11011110000000
3120210212012122100
431201113132000
5431033210223
634302110400
75423125161
oct1541273600
9523765570
10226850688
11107062309
1263b7b400
1337cc899c
14221b1768
1514db0043
hexd857780

226850688 has 48 divisors (see below), whose sum is σ = 652789800. Its totient is φ = 75616512.

The previous prime is 226850683. The next prime is 226850749. The reversal of 226850688 is 886058622.

226850688 is a `hidden beast` number, since 2 + 2 + 68 + 506 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2268506882 = 102922469292146688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226850681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 97308 + ... + 99611.

Almost surely, 2226850688 is an apocalyptic number.

It is an amenable number.

226850688 is an abundant number, since it is smaller than the sum of its proper divisors (425939112).

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

226850688 is a wasteful number, since it uses less digits than its factorization.

226850688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196939 (or 196924 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 226850688 is about 15061.5632654781. The cubic root of 226850688 is about 609.8832420086.

The spelling of 226850688 in words is "two hundred twenty-six million, eight hundred fifty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 196919 393838 590757 787676 1181514 1575352 1772271 2363028 3150704 3544542 4726056 6301408 7089084 9452112 12602816 14178168 18904224 25205632 28356336 37808448 56712672 75616896 113425344 226850688