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23012202420 = 223252361293311
BaseRepresentation
bin10101011011101000…
…100101011110110100
32012101202112000011100
4111123220211132310
5334112110434140
614323251210100
71443156331104
oct253350453664
965352460140
1023012202420
119839874309
1245628a6930
13222977232c
141184387204
158ea420530
hex55ba257b4

23012202420 has 288 divisors, whose sum is σ = 74524230144. Its totient is φ = 5735347200.

The previous prime is 23012202419. The next prime is 23012202511. The reversal of 23012202420 is 2420221032.

23012202420 is a `hidden beast` number, since 2 + 30 + 12 + 202 + 420 = 666.

It is a super-2 number, since 2×230122024202 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 23012202393 and 23012202402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73994065 + ... + 73994375.

It is an arithmetic number, because the mean of its divisors is an integer number (258764688).

Almost surely, 223012202420 is an apocalyptic number.

23012202420 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 23012202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37262115072).

23012202420 is an abundant number, since it is smaller than the sum of its proper divisors (51512027724).

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

23012202420 is a wasteful number, since it uses less digits than its factorization.

23012202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 23012202420 its reverse (2420221032), we get a palindrome (25432423452).

The spelling of 23012202420 in words is "twenty-three billion, twelve million, two hundred two thousand, four hundred twenty".