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221450450130 = 232571373370399
BaseRepresentation
bin1100111000111101111…
…0011011010011010010
3210011121021002110021100
43032033132123103102
512112012303401010
6245422151405230
721666514524330
oct3161736332322
9704537073240
10221450450130
1185a0a007938
1236b03383816
1317b6235a810
14aa0ac8cb50
155b616ed2c0
hex338f79b4d2

221450450130 has 192 divisors, whose sum is σ = 718350796800. Its totient is φ = 46083437568.

The previous prime is 221450450101. The next prime is 221450450141. The reversal of 221450450130 is 31054054122.

221450450130 is a `hidden beast` number, since 2 + 21 + 4 + 504 + 5 + 0 + 130 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 221450450094 and 221450450103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 412671 + ... + 783069.

It is an arithmetic number, because the mean of its divisors is an integer number (3741410400).

Almost surely, 2221450450130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221450450130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359175398400).

221450450130 is an abundant number, since it is smaller than the sum of its proper divisors (496900346670).

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

221450450130 is a wasteful number, since it uses less digits than its factorization.

221450450130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370505 (or 370502 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 221450450130 in words is "two hundred twenty-one billion, four hundred fifty million, four hundred fifty thousand, one hundred thirty".