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55198900224 = 213381379
BaseRepresentation
bin110011011010000111…
…000110000000000000
312021110220110200000000
4303122013012000000
51401021404301344
641205200000000
73662610624156
oct633207060000
9167426420000
1055198900224
1121456381806
12a846000000
135288b8c150
142958da93d6
151680ed9a69
hexcda1c6000

55198900224 has 504 divisors, whose sum is σ = 180572115360. Its totient is φ = 16769286144.

The previous prime is 55198900223. The next prime is 55198900231. The reversal of 55198900224 is 42200989155.

It is a happy number.

55198900224 is a `hidden beast` number, since 551 + 9 + 8 + 90 + 0 + 2 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 55198900224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55198900223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 698720217 + ... + 698720295.

Almost surely, 255198900224 is an apocalyptic number.

55198900224 is a gapful number since it is divisible by the number (54) 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 55198900224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90286057680).

55198900224 is an abundant number, since it is smaller than the sum of its proper divisors (125373215136).

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

55198900224 is an frugal number, since it uses more digits than its factorization.

55198900224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 55198900224 in words is "fifty-five billion, one hundred ninety-eight million, nine hundred thousand, two hundred twenty-four".