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23022042202432 = 267213896345041
BaseRepresentation
bin1010011110000001111001…
…01001011100000101000000
310000111212220201000200102201
411033000330221130011000
511004143120300434212
6120544102530322544
74564200444634600
oct517007451340500
9100455821020381
1023022042202432
117376658704739
1226b99ab429454
13cacc7a620a70
145983b675cc00
1529dcc9792b57
hex14f03ca5c140

23022042202432 has 168 divisors, whose sum is σ = 57874016387880. Its totient is φ = 9005286850560.

The previous prime is 23022042202363. The next prime is 23022042202441. The reversal of 23022042202432 is 23420224022032.

It can be written as a sum of positive squares in 4 ways, for example, as 569759270976 + 22452282931456 = 754824^2 + 4738384^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 23022042202432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455832 + ... + 6800872.

It is an arithmetic number, because the mean of its divisors is an integer number (344488192785).

Almost surely, 223022042202432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23022042202432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28937008193940).

23022042202432 is an abundant number, since it is smaller than the sum of its proper divisors (34851974185448).

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

23022042202432 is a wasteful number, since it uses less digits than its factorization.

23022042202432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6345169 (or 6345152 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 23022042202432 its reverse (23420224022032), we get a palindrome (46442266224464).

The spelling of 23022042202432 in words is "twenty-three trillion, twenty-two billion, forty-two million, two hundred two thousand, four hundred thirty-two".