Search a number
-
+
23219501952 = 2731731179641
BaseRepresentation
bin10101100111111111…
…010111101110000000
32012221012120220122210
4111213333113232000
5340023143030302
614400014302120
71451254336653
oct254777275600
965835526583
1023219501952
119935892539
1246001b7940
1322606b3c8a
1411a3b0989a
1590d71c66c
hex567fd7b80

23219501952 has 256 divisors, whose sum is σ = 67893811200. Its totient is φ = 6999244800.

The previous prime is 23219501951. The next prime is 23219501957. The reversal of 23219501952 is 25910591232.

It is a self number, because there is not a number n which added to its sum of digits gives 23219501952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23219501951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36223552 + ... + 36224192.

It is an arithmetic number, because the mean of its divisors is an integer number (265210200).

Almost surely, 223219501952 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 23219501952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33946905600).

23219501952 is an abundant number, since it is smaller than the sum of its proper divisors (44674309248).

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

23219501952 is a wasteful number, since it uses less digits than its factorization.

23219501952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The spelling of 23219501952 in words is "twenty-three billion, two hundred nineteen million, five hundred one thousand, nine hundred fifty-two".