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55227820032 = 21133721117109
BaseRepresentation
bin110011011011110101…
…011010100000000000
312021112220212221112000
4303123311122200000
51401101310220112
641212111504000
73663411503400
oct633365324000
9167486787460
1055227820032
1121470734680
12a853828000
135291b76568
14295cb76800
1516837ed7dc
hexcdbd5a800

55227820032 has 1152 divisors, whose sum is σ = 221837616000. Its totient is φ = 13377208320.

The previous prime is 55227820031. The next prime is 55227820061. The reversal of 55227820032 is 23002872255.

It is a happy number.

55227820032 is a `hidden beast` number, since 552 + 2 + 78 + 2 + 0 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×552278200322 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (55227820031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 506677194 + ... + 506677302.

It is an arithmetic number, because the mean of its divisors is an integer number (192567375).

Almost surely, 255227820032 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 55227820032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110918808000).

55227820032 is an abundant number, since it is smaller than the sum of its proper divisors (166609795968).

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

55227820032 is a wasteful number, since it uses less digits than its factorization.

55227820032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 55227820032 in words is "fifty-five billion, two hundred twenty-seven million, eight hundred twenty thousand, thirty-two".