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2252550132 = 2232740122291
BaseRepresentation
bin1000011001000011…
…0010111111110100
312210222120101212200
42012100302333310
514103123101012
61011303544500
7106551234360
oct20620627764
95728511780
102252550132
11a56562288
1252a45b130
1329b8a0701
1417523a2a0
15d2b4c3dc
hex86432ff4

2252550132 has 72 divisors (see below), whose sum is σ = 6523887552. Its totient is φ = 641952000.

The previous prime is 2252550119. The next prime is 2252550137. The reversal of 2252550132 is 2310552522.

2252550132 is a `hidden beast` number, since 2 + 2 + 525 + 5 + 0 + 132 = 666.

2252550132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2252550096 and 2252550105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252550137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89907 + ... + 112197.

Almost surely, 22252550132 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 2252550132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261943776).

2252550132 is an abundant number, since it is smaller than the sum of its proper divisors (4271337420).

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

2252550132 is a wasteful number, since it uses less digits than its factorization.

2252550132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22709 (or 22704 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2252550132 is about 47461.0380417454. The cubic root of 2252550132 is about 1310.8655647469.

The spelling of 2252550132 in words is "two billion, two hundred fifty-two million, five hundred fifty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 401 802 1203 1604 2406 2807 3609 4812 5614 7218 8421 11228 14436 16842 22291 25263 33684 44582 50526 66873 89164 101052 133746 156037 200619 267492 312074 401238 468111 624148 802476 936222 1404333 1872444 2808666 5617332 8938691 17877382 26816073 35754764 53632146 62570837 80448219 107264292 125141674 160896438 187712511 250283348 321792876 375425022 563137533 750850044 1126275066 2252550132