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221525107342140 = 2235723214931321379
BaseRepresentation
bin110010010111100111010101…
…010101001111101100111100
31002001100121000121121211111110
4302113213111111033230330
5213013431404434422030
62103051121314522020
764442442446011260
oct6227472525175474
91061317017554443
10221525107342140
11646482a7a46508
1220a19072296310
13967b960507084
143c9bc2dc380a0
151a9259a5e71b0
hexc979d554fb3c

221525107342140 has 576 divisors, whose sum is σ = 748433137536000. Its totient is φ = 47951824048128.

The previous prime is 221525107342109. The next prime is 221525107342159. The reversal of 221525107342140 is 41243701525122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10361797971 + ... + 10361819349.

It is an arithmetic number, because the mean of its divisors is an integer number (1299363086000).

Almost surely, 2221525107342140 is an apocalyptic number.

221525107342140 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 221525107342140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374216568768000).

221525107342140 is an abundant number, since it is smaller than the sum of its proper divisors (526908030193860).

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

221525107342140 is a wasteful number, since it uses less digits than its factorization.

221525107342140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21906 (or 21881 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

Adding to 221525107342140 its reverse (41243701525122), we get a palindrome (262768808867262).

The spelling of 221525107342140 in words is "two hundred twenty-one trillion, five hundred twenty-five billion, one hundred seven million, three hundred forty-two thousand, one hundred forty".