Search a number
-
+
23202021000 = 2335319616673
BaseRepresentation
bin10101100110111100…
…101011111010001000
32012212222200210022010
4111212330223322020
5340004204133000
614354151455520
71450652632044
oct254674537210
965788623263
1023202021000
119926a32874
1245b63875a0
132259ba3312
1411a1679024
1590be17d50
hex566f2be88

23202021000 has 256 divisors, whose sum is σ = 77461113600. Its totient is φ = 5764608000.

The previous prime is 23202020957. The next prime is 23202021049. The reversal of 23202021000 is 12020232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3473664 + ... + 3480336.

It is an arithmetic number, because the mean of its divisors is an integer number (302582475).

Almost surely, 223202021000 is an apocalyptic number.

23202021000 is a gapful number since it is divisible by the number (20) 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 23202021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38730556800).

23202021000 is an abundant number, since it is smaller than the sum of its proper divisors (54259092600).

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

23202021000 is a wasteful number, since it uses less digits than its factorization.

23202021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6777 (or 6763 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 23202021000 its reverse (12020232), we get a palindrome (23214041232).

The spelling of 23202021000 in words is "twenty-three billion, two hundred two million, twenty-one thousand".