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11223712080 = 2433574361283
BaseRepresentation
bin10100111001111110…
…00100000101010000
31001222012101122112000
422130333010011100
5140441232241310
65053415034000
7545063656440
oct123477040520
931865348460
1011223712080
11483a547009
12221296b900
13109b394869
147868a6120
1545a52e4c0
hex29cfc4150

11223712080 has 640 divisors, whose sum is σ = 46113239040. Its totient is φ = 2455971840.

The previous prime is 11223712061. The next prime is 11223712081. The reversal of 11223712080 is 8021732211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11223712081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39659619 + ... + 39659901.

It is an arithmetic number, because the mean of its divisors is an integer number (72051936).

Almost surely, 211223712080 is an apocalyptic number.

11223712080 is a gapful number since it is divisible by the number (10) 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 11223712080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23056619520).

11223712080 is an abundant number, since it is smaller than the sum of its proper divisors (34889526960).

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

11223712080 is a wasteful number, since it uses less digits than its factorization.

11223712080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11223712080 in words is "eleven billion, two hundred twenty-three million, seven hundred twelve thousand, eighty".