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2252500992 = 21232722943
BaseRepresentation
bin1000011001000010…
…0111000000000000
312210222110220110200
42012100213000000
514103120012432
61011302525200
7106550641200
oct20620470000
95728426420
102252500992
11a56529375
1252a436800
1329b884231
14175226400
15d2b3ca7c
hex86427000

2252500992 has 468 divisors, whose sum is σ = 8011780920. Its totient is φ = 606928896.

The previous prime is 2252500979. The next prime is 2252500993. The reversal of 2252500992 is 2990052522.

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 (2252500993) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52383723 + ... + 52383765.

It is an arithmetic number, because the mean of its divisors is an integer number (17119190).

Almost surely, 22252500992 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 2252500992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005890460).

2252500992 is an abundant number, since it is smaller than the sum of its proper divisors (5759279928).

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

2252500992 is a wasteful number, since it uses less digits than its factorization.

2252500992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2252500992 is about 47460.5203511297. The cubic root of 2252500992 is about 1310.8560323801.

The spelling of 2252500992 in words is "two billion, two hundred fifty-two million, five hundred thousand, nine hundred ninety-two".