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23422200222432 = 253111959109181523
BaseRepresentation
bin1010101001101011001111…
…11011001001001011100000
310001221010210101221022010010
411110311213323021023200
511032222131224104212
6121452002113404520
74635124645660404
oct524654773111340
9101833711838103
1023422200222432
117510332456880
122763467569740
13100b91c90855b
145ad8d78d7104
152a93e9ea203c
hex154d67ec92e0

23422200222432 has 384 divisors, whose sum is σ = 72458572032000. Its totient is φ = 6549429934080.

The previous prime is 23422200222397. The next prime is 23422200222433.

It is a happy number.

23422200222432 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23422200222432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23422200222433) 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, 128940823 + ... + 129122345.

It is an arithmetic number, because the mean of its divisors is an integer number (188694198000).

Almost surely, 223422200222432 is an apocalyptic number.

23422200222432 is a gapful number since it is divisible by the number (22) 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 23422200222432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36229286016000).

23422200222432 is an abundant number, since it is smaller than the sum of its proper divisors (49036371809568).

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

23422200222432 is a wasteful number, since it uses less digits than its factorization.

23422200222432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181734 (or 181726 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 23422200 and 222432, that added together give a palindrome (23644632).

The spelling of 23422200222432 in words is "twenty-three trillion, four hundred twenty-two billion, two hundred million, two hundred twenty-two thousand, four hundred thirty-two".