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23219994341232 = 24331319768728309
BaseRepresentation
bin1010100011110010100111…
…00000111010111101110000
310001012210212022220020111000
411101321103200322331300
511020414022022404412
6121215041303522000
74614406051231023
oct521712340727560
9101183768806430
1023219994341232
1174425a9509467
122730235159300
13cc58365a8b40
145a3bd48871ba
152a401304d4dc
hex151e5383af70

23219994341232 has 320 divisors, whose sum is σ = 75567135616000. Its totient is φ = 6767461757952.

The previous prime is 23219994341231. The next prime is 23219994341233. The reversal of 23219994341232 is 23214349991232.

It is a happy number.

23219994341232 is a `hidden beast` number, since 2 + 3 + 2 + 199 + 9 + 4 + 3 + 412 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (23219994341231) and next prime (23219994341233).

It is a super-2 number, since 2×232199943412322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23219994341231) 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 63 ways as a sum of consecutive naturals, for example, 820219494 + ... + 820247802.

It is an arithmetic number, because the mean of its divisors is an integer number (236147298800).

Almost surely, 223219994341232 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 23219994341232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37783567808000).

23219994341232 is an abundant number, since it is smaller than the sum of its proper divisors (52347141274768).

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

23219994341232 is a wasteful number, since it uses less digits than its factorization.

23219994341232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36045 (or 36033 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 23219994341232 in words is "twenty-three trillion, two hundred nineteen billion, nine hundred ninety-four million, three hundred forty-one thousand, two hundred thirty-two".