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23013023220 = 223251183233601
BaseRepresentation
bin10101011011101011…
…101101110111110100
32012101211001201002100
4111123223231313310
5334112313220340
614323320542100
71443166320105
oct253353556764
965354051070
1023013023220
11983a284a60
124563021930
13222999bb05
14118451c3ac
158ea533830
hex55baeddf4

23013023220 has 288 divisors, whose sum is σ = 77529239424. Its totient is φ = 5478912000.

The previous prime is 23013023213. The next prime is 23013023227. The reversal of 23013023220 is 2232031032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23013023213) and next prime (23013023227).

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 = 23013023193 and 23013023202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23013023227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38290920 + ... + 38291520.

It is an arithmetic number, because the mean of its divisors is an integer number (269198748).

Almost surely, 223013023220 is an apocalyptic number.

23013023220 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 23013023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38764619712).

23013023220 is an abundant number, since it is smaller than the sum of its proper divisors (54516216204).

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

23013023220 is a wasteful number, since it uses less digits than its factorization.

23013023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23013023220 its reverse (2232031032), we get a palindrome (25245054252).

The spelling of 23013023220 in words is "twenty-three billion, thirteen million, twenty-three thousand, two hundred twenty".