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226725752016 = 243223231671433
BaseRepresentation
bin1101001100100111101…
…0000110110011010000
3210200012220111120000200
43103021322012303100
512203313243031031
6252053435415200
722244322044241
oct3231172066320
9720186446020
10226725752016
118817685a265
1237b35bb4500
13184c324a51a
14ad8b734cc8
155d6e8d58e6
hex34c9e86cd0

226725752016 has 360 divisors, whose sum is σ = 695405657856. Its totient is φ = 68865223680.

The previous prime is 226725752003. The next prime is 226725752051. The reversal of 226725752016 is 610257527622.

226725752016 is a `hidden beast` number, since 2 + 2 + 6 + 72 + 57 + 520 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158216836 + ... + 158218268.

Almost surely, 2226725752016 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 226725752016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347702828928).

226725752016 is an abundant number, since it is smaller than the sum of its proper divisors (468679905840).

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

226725752016 is a wasteful number, since it uses less digits than its factorization.

226725752016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 226725752016 in words is "two hundred twenty-six billion, seven hundred twenty-five million, seven hundred fifty-two thousand, sixteen".