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226855344000 = 2735317317877
BaseRepresentation
bin1101001101000110100…
…0011101011110000000
3210200112221100111210210
43103101220131132000
512204044432002000
6252114345154120
722250454415365
oct3232150353600
9720487314723
10226855344000
1188232a2267a
1237b7148b940
131851405237c
14ada0a2a46c
155d7ae83350
hex34d1a1d780

226855344000 has 512 divisors, whose sum is σ = 799684928640. Its totient is φ = 56691916800.

The previous prime is 226855343971. The next prime is 226855344047. The reversal of 226855344000 is 443558622.

It is a self number, because there is not a number n which added to its sum of digits gives 226855344000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258671562 + ... + 258672438.

Almost surely, 2226855344000 is an apocalyptic number.

226855344000 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 226855344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399842464320).

226855344000 is an abundant number, since it is smaller than the sum of its proper divisors (572829584640).

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

226855344000 is a wasteful number, since it uses less digits than its factorization.

226855344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 226855344000 in words is "two hundred twenty-six billion, eight hundred fifty-five million, three hundred forty-four thousand".