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221331322320 = 2435922213843
BaseRepresentation
bin1100111000100001011…
…1111111010111010000
3210011021221221010122020
43032020113333113100
512111241304303240
6245402254211440
721663540125043
oct3161027772720
9704257833566
10221331322320
11859588413a9
1236a8b4b3b80
1317b4377a8a4
14a9d911cc5a
155b5601b0d0
hex33885ff5d0

221331322320 has 40 divisors (see below), whose sum is σ = 686127099936. Its totient is φ = 59021685888.

The previous prime is 221331322319. The next prime is 221331322339. The reversal of 221331322320 is 23223133122.

221331322320 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461106682 + ... + 461107161.

Almost surely, 2221331322320 is an apocalyptic number.

221331322320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221331322320 is an abundant number, since it is smaller than the sum of its proper divisors (464795777616).

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

221331322320 is a wasteful number, since it uses less digits than its factorization.

221331322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922213859 (or 922213853 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 221331322320 its reverse (23223133122), we get a palindrome (244554455442).

The spelling of 221331322320 in words is "two hundred twenty-one billion, three hundred thirty-one million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 922213843 1844427686 2766641529 3688855372 4611069215 5533283058 7377710744 9222138430 11066566116 13833207645 14755421488 18444276860 22133132232 27666415290 36888553720 44266264464 55332830580 73777107440 110665661160 221331322320