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226980600 = 23352711173
BaseRepresentation
bin11011000011101…
…11001011111000
3120211002210211220
431201313023320
5431101334400
634304552040
75424206010
oct1541671370
9524083756
10226980600
11107140980
1264022620
1338042b62
1422206c40
1514dd87a0
hexd8772f8

226980600 has 384 divisors, whose sum is σ = 932083200. Its totient is φ = 44390400.

The previous prime is 226980599. The next prime is 226980613. The reversal of 226980600 is 6089622.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13351792 + ... + 13351808.

It is an arithmetic number, because the mean of its divisors is an integer number (2427300).

Almost surely, 2226980600 is an apocalyptic number.

226980600 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 226980600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466041600).

226980600 is an abundant number, since it is smaller than the sum of its proper divisors (705102600).

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

226980600 is a wasteful number, since it uses less digits than its factorization.

226980600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 226980600 is about 15065.8753479511. The cubic root of 226980600 is about 609.9996416732. Note that the first 3 decimals are identical.

The spelling of 226980600 in words is "two hundred twenty-six million, nine hundred eighty thousand, six hundred".