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226748160 = 283115
BaseRepresentation
bin11011000001111…
…10011100000000
3120210200000000000
431200332130000
5431021420120
634300000000
75422220232
oct1540763400
9523600000
10226748160
11106aa2281
1263b30000
1337c91112
1422186252
1514d8e990
hexd83e700

226748160 has 216 divisors, whose sum is σ = 814697520. Its totient is φ = 60466176.

The previous prime is 226748153. The next prime is 226748161. The reversal of 226748160 is 61847622.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226748161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45349630 + ... + 45349634.

Almost surely, 2226748160 is an apocalyptic number.

226748160 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 226748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407348760).

226748160 is an abundant number, since it is smaller than the sum of its proper divisors (587949360).

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

226748160 is an frugal number, since it uses more digits than its factorization.

226748160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 226748160 is about 15058.1592500544. The cubic root of 226748160 is about 609.7913467149.

The spelling of 226748160 in words is "two hundred twenty-six million, seven hundred forty-eight thousand, one hundred sixty".