Search a number
-
+
22952597040 = 24325412812767
BaseRepresentation
bin10101011000000101…
…001101011000110000
32012020121100201221200
4111120011031120300
5334001331101130
614313321451200
71441533566352
oct253005153060
965217321850
1022952597040
11980916296a
124546940b00
13221a302b89
14117a4ad0d2
158e5099760
hex55814d630

22952597040 has 240 divisors, whose sum is σ = 79272176256. Its totient is φ = 5948006400.

The previous prime is 22952597029. The next prime is 22952597047. The reversal of 22952597040 is 4079525922.

22952597040 is a `hidden beast` number, since 2 + 2 + 9 + 52 + 597 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22952597047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8293737 + ... + 8296503.

Almost surely, 222952597040 is an apocalyptic number.

22952597040 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 22952597040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39636088128).

22952597040 is an abundant number, since it is smaller than the sum of its proper divisors (56319579216).

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

22952597040 is a wasteful number, since it uses less digits than its factorization.

22952597040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 22952597040 in words is "twenty-two billion, nine hundred fifty-two million, five hundred ninety-seven thousand, forty".