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22328460000 = 253454711179
BaseRepresentation
bin10100110010111000…
…010100001011100000
32010122002221021220000
4110302320110023200
5331212041210000
614131344220000
71420214531010
oct246270241340
963562837800
1022328460000
119518919530
1243b190a600
13214ac05b12
14111b641c40
158aa3b0000
hex532e142e0

22328460000 has 1200 divisors, whose sum is σ = 102877568640. Its totient is φ = 4613760000.

The previous prime is 22328459987. The next prime is 22328460001. The reversal of 22328460000 is 6482322.

22328460000 is a `hidden beast` number, since 22 + 32 + 8 + 4 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-3 number, since 3×223284600003 (a number of 32 digits) contains 333 as substring.

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 (22328460001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 124739911 + ... + 124740089.

Almost surely, 222328460000 is an apocalyptic number.

22328460000 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 22328460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51438784320).

22328460000 is an abundant number, since it is smaller than the sum of its proper divisors (80549108640).

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

22328460000 is a wasteful number, since it uses less digits than its factorization.

22328460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 22328460000 in words is "twenty-two billion, three hundred twenty-eight million, four hundred sixty thousand".