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23300022240 = 25325111977419
BaseRepresentation
bin10101101100110010…
…100001111111100000
32020010211002202201200
4111230302201333200
5340204301202430
614412012201200
71453252630665
oct255462417740
966124082650
1023300022240
119977289630
124623169200
132274297111
1411b06a9a6c
15915825460
hex56cca1fe0

23300022240 has 288 divisors, whose sum is σ = 91306051200. Its totient is φ = 5351132160.

The previous prime is 23300022169. The next prime is 23300022257. The reversal of 23300022240 is 4222000332.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262251 + ... + 339669.

It is an arithmetic number, because the mean of its divisors is an integer number (317034900).

Almost surely, 223300022240 is an apocalyptic number.

23300022240 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 23300022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45653025600).

23300022240 is an abundant number, since it is smaller than the sum of its proper divisors (68006028960).

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

23300022240 is a wasteful number, since it uses less digits than its factorization.

23300022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77470 (or 77459 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 23300022240 its reverse (4222000332), we get a palindrome (27522022572).

The spelling of 23300022240 in words is "twenty-three billion, three hundred million, twenty-two thousand, two hundred forty".