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556198020 = 2232572193319
BaseRepresentation
bin100001001001101…
…110100010000100
31102202120210020200
4201021232202010
52114341314040
6131105130500
716532414400
oct4111564204
91382523220
10556198020
11265a60894
12136329a30
138b300671
1453c24100
1533c69630
hex2126e884

556198020 has 216 divisors, whose sum is σ = 2066500800. Its totient is φ = 120403584.

The previous prime is 556198007. The next prime is 556198031. The reversal of 556198020 is 20891655.

It is a happy number.

556198020 is a `hidden beast` number, since 5 + 561 + 98 + 0 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 165921 + ... + 169239.

Almost surely, 2556198020 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 556198020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033250400).

556198020 is an abundant number, since it is smaller than the sum of its proper divisors (1510302780).

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

556198020 is a wasteful number, since it uses less digits than its factorization.

556198020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 556198020 is about 23583.8508306002. The cubic root of 556198020 is about 822.3874600813.

The spelling of 556198020 in words is "five hundred fifty-six million, one hundred ninety-eight thousand, twenty".