Search a number
-
+
23252225213070 = 23357217107966211
BaseRepresentation
bin1010100100101110101001…
…00111111100001010001110
310001022220001112222011201000
411102113110213330022032
511021431024123304240
6121241531431201130
74616626550145300
oct522272447741216
9101286045864630
1023252225213070
117455238a48527
12273652b2161a6
13cc88a1bc1339
145a55b12c7970
152a4c9c941430
hex1525d49fc28e

23252225213070 has 384 divisors, whose sum is σ = 77086093893120. Its totient is φ = 4955405091840.

The previous prime is 23252225213069. The next prime is 23252225213083. The reversal of 23252225213070 is 7031252225232.

23252225213070 is a `hidden beast` number, since 2 + 3 + 2 + 522 + 2 + 52 + 13 + 0 + 70 = 666.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 23582265 + ... + 24548475.

It is an arithmetic number, because the mean of its divisors is an integer number (200745036180).

Almost surely, 223252225213070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23252225213070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38543046946560).

23252225213070 is an abundant number, since it is smaller than the sum of its proper divisors (53833868680050).

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

23252225213070 is a wasteful number, since it uses less digits than its factorization.

23252225213070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966365 (or 966352 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 23252225213070 in words is "twenty-three trillion, two hundred fifty-two billion, two hundred twenty-five million, two hundred thirteen thousand, seventy".