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2242157436 = 223425726927
BaseRepresentation
bin1000010110100100…
…1001101101111100
312210021000101210000
42011221021231330
514042443014221
61010253114300
7106364011101
oct20551115574
95707011700
102242157436
11a50704082
12526a88990
132996a219c
14173ad2aa8
15d1c97e26
hex85a49b7c

2242157436 has 60 divisors (see below), whose sum is σ = 5884468128. Its totient is φ = 744450048.

The previous prime is 2242157371. The next prime is 2242157497. The reversal of 2242157436 is 6347512422.

2242157436 is a `hidden beast` number, since 2 + 2 + 4 + 215 + 7 + 436 = 666.

2242157436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2242157436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69805 + ... + 96731.

Almost surely, 22242157436 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 2242157436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942234064).

2242157436 is an abundant number, since it is smaller than the sum of its proper divisors (3642310692).

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

2242157436 is a wasteful number, since it uses less digits than its factorization.

2242157436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27200 (or 27189 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 2242157436 is about 47351.4248571255. The cubic root of 2242157436 is about 1308.8464557279.

Adding to 2242157436 its reverse (6347512422), we get a palindrome (8589669858).

The spelling of 2242157436 in words is "two billion, two hundred forty-two million, one hundred fifty-seven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 257 324 514 771 1028 1542 2313 3084 4626 6939 9252 13878 20817 26927 27756 41634 53854 80781 83268 107708 161562 242343 323124 484686 727029 969372 1454058 2181087 2908116 4362174 6920239 8724348 13840478 20760717 27680956 41521434 62282151 83042868 124564302 186846453 249128604 373692906 560539359 747385812 1121078718 2242157436