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221334130104 = 23317231071371609
BaseRepresentation
bin1100111000100010001…
…0101100110110111000
3210011022011012210012020
43032020202230312320
512111243014130404
6245402434314440
721663603031023
oct3161042546670
9704264183166
10221334130104
118595a38998a
1236a90428a20
1317b442218b9
14a9d96501ba
155b563c2ed9
hex33888acdb8

221334130104 has 256 divisors, whose sum is σ = 621961804800. Its totient is φ = 65277493248.

The previous prime is 221334130103. The next prime is 221334130123. The reversal of 221334130104 is 401031433122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221334130103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137559252 + ... + 137560860.

It is an arithmetic number, because the mean of its divisors is an integer number (2429538300).

Almost surely, 2221334130104 is an apocalyptic number.

221334130104 is a gapful number since it is divisible by the number (24) 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 221334130104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310980902400).

221334130104 is an abundant number, since it is smaller than the sum of its proper divisors (400627674696).

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

221334130104 is a wasteful number, since it uses less digits than its factorization.

221334130104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 221334130104 its reverse (401031433122), we get a palindrome (622365563226).

The spelling of 221334130104 in words is "two hundred twenty-one billion, three hundred thirty-four million, one hundred thirty thousand, one hundred four".