Search a number
-
+
22975650000 = 2435553161
BaseRepresentation
bin10101011001011101…
…001001100011010000
32012022012201221200000
4111121131021203100
5334023231300000
614315503530000
71442233542222
oct253135114320
965265657600
1022975650000
1198201789a6
1245525b9900
132222014a94
14117d590412
158e7100000
hex5597498d0

22975650000 has 720 divisors, whose sum is σ = 87445403136. Its totient is φ = 5832000000.

The previous prime is 22975649993. The next prime is 22975650001. The reversal of 22975650000 is 5657922.

22975650000 is a `hidden beast` number, since 2 + 2 + 97 + 565 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22975650001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 376649970 + ... + 376650030.

Almost surely, 222975650000 is an apocalyptic number.

22975650000 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 22975650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43722701568).

22975650000 is an abundant number, since it is smaller than the sum of its proper divisors (64469753136).

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

22975650000 is an frugal number, since it uses more digits than its factorization.

22975650000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 22975650000 in words is "twenty-two billion, nine hundred seventy-five million, six hundred fifty thousand".