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226364976 = 24333116903
BaseRepresentation
bin11010111111000…
…00111000110000
3120202221112101000
431133200320300
5430422134401
634243442000
75416033125
oct1537407060
9522845330
10226364976
111068603a2
1263986300
1337b88896
14220c674c
1514d16186
hexd7e0e30

226364976 has 80 divisors (see below), whose sum is σ = 670750720. Its totient is φ = 73016640.

The previous prime is 226364959. The next prime is 226364989. The reversal of 226364976 is 679463622.

226364976 is a `hidden beast` number, since 2 + 2 + 636 + 4 + 9 + 7 + 6 = 666.

226364976 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2263649762 = 102482204718961152, which contains 22 as substring.

It is a congruent number.

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, 4941 + ... + 21843.

It is an arithmetic number, because the mean of its divisors is an integer number (8384384).

Almost surely, 2226364976 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 226364976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335375360).

226364976 is an abundant number, since it is smaller than the sum of its proper divisors (444385744).

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

226364976 is a wasteful number, since it uses less digits than its factorization.

226364976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16951 (or 16939 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 226364976 is about 15045.4304026173. The cubic root of 226364976 is about 609.4476555263.

The spelling of 226364976 in words is "two hundred twenty-six million, three hundred sixty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 13392 16903 33806 50709 67612 101418 135224 152127 202836 270448 304254 405672 456381 523993 608508 811344 912762 1047986 1217016 1571979 1825524 2095972 2434032 3143958 3651048 4191944 4715937 6287916 7302096 8383888 9431874 12575832 14147811 18863748 25151664 28295622 37727496 56591244 75454992 113182488 226364976