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226662940224 = 2634729435009
BaseRepresentation
bin1101001100011000101…
…0011111111001000000
3210200001112022101110000
43103012022133321000
512203201203041344
6252043313240000
722242630126420
oct3230612377100
9720045271400
10226662940224
1188144358896
1237b18b63000
13184b3227796
14ad83264480
155d69129a69
hex34c629fe40

226662940224 has 560 divisors, whose sum is σ = 813000355200. Its totient is φ = 61061382144.

The previous prime is 226662940183. The next prime is 226662940249. The reversal of 226662940224 is 422049266622.

It is a self number, because there is not a number n which added to its sum of digits gives 226662940224.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45248632 + ... + 45253640.

Almost surely, 2226662940224 is an apocalyptic number.

226662940224 is a gapful number since it is divisible by the number (24) 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 226662940224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406500177600).

226662940224 is an abundant number, since it is smaller than the sum of its proper divisors (586337414976).

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

226662940224 is a wasteful number, since it uses less digits than its factorization.

226662940224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 226662940224 in words is "two hundred twenty-six billion, six hundred sixty-two million, nine hundred forty thousand, two hundred twenty-four".