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226812460 = 22577322193
BaseRepresentation
bin11011000010011…
…10001000101100
3120210210021012111
431201032020230
5431030444320
634301213404
75422605550
oct1541161054
9523707174
10226812460
11107036616
1263b61264
1337cb4474
14221a1860
1514da3a5a
hexd84e22c

226812460 has 48 divisors (see below), whose sum is σ = 551831616. Its totient is φ = 76695552.

The previous prime is 226812449. The next prime is 226812473. The reversal of 226812460 is 64218622.

It is a super-2 number, since 2×2268124602 = 102887784022503200, which contains 22 as substring.

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, 877 + ... + 21316.

It is an arithmetic number, because the mean of its divisors is an integer number (11496492).

Almost surely, 2226812460 is an apocalyptic number.

226812460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226812460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275915808).

226812460 is an abundant number, since it is smaller than the sum of its proper divisors (325019156).

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

226812460 is a wasteful number, since it uses less digits than its factorization.

226812460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22282 (or 22280 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 226812460 is about 15060.2941538338. The cubic root of 226812460 is about 609.8489816962.

The spelling of 226812460 in words is "two hundred twenty-six million, eight hundred twelve thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 730 1022 1460 2044 2555 5110 10220 22193 44386 88772 110965 155351 221930 310702 443860 621404 776755 1553510 1620089 3107020 3240178 6480356 8100445 11340623 16200890 22681246 32401780 45362492 56703115 113406230 226812460