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22320430000 = 245411296997
BaseRepresentation
bin10100110010011001…
…101011101110110000
32010121112211022210121
4110302121223232300
5331203012230000
614130500140024
71420056344641
oct246231535660
963545738717
1022320430000
119514334470
1243ab097614
132149353b3b
14111a5516c8
158a9825b1a
hex53266bbb0

22320430000 has 200 divisors, whose sum is σ = 60994288080. Its totient is φ = 7835520000.

The previous prime is 22320429979. The next prime is 22320430037. The reversal of 22320430000 is 3402322.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×223204300003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3186502 + ... + 3193498.

Almost surely, 222320430000 is an apocalyptic number.

22320430000 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 22320430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30497144040).

22320430000 is an abundant number, since it is smaller than the sum of its proper divisors (38673858080).

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

22320430000 is a wasteful number, since it uses less digits than its factorization.

22320430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7065 (or 7044 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 22320430000 its reverse (3402322), we get a palindrome (22323832322).

The spelling of 22320430000 in words is "twenty-two billion, three hundred twenty million, four hundred thirty thousand".