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2242251108 = 2232177974597
BaseRepresentation
bin1000010110100110…
…0000100101100100
312210021012011021100
42011221200211210
514043004013413
61010255120100
7106364551146
oct20551404544
95707164240
102242251108
11a50768499
12526b13030
13299705a06
14173b18c96
15d1cb5a73
hex85a60964

2242251108 has 72 divisors (see below), whose sum is σ = 6010156152. Its totient is φ = 702415872.

The previous prime is 2242251107. The next prime is 2242251113. The reversal of 2242251108 is 8011522422.

It can be written as a sum of positive squares in 4 ways, for example, as 166719744 + 2075531364 = 12912^2 + 45558^2 .

It is not an unprimeable number, because it can be changed into a prime (2242251107) 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, 485466 + ... + 490062.

It is an arithmetic number, because the mean of its divisors is an integer number (83474391).

Almost surely, 22242251108 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 2242251108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005078076).

2242251108 is an abundant number, since it is smaller than the sum of its proper divisors (3767905044).

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

2242251108 is a wasteful number, since it uses less digits than its factorization.

2242251108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5421 (or 5416 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2242251108 is about 47352.4139616979. The cubic root of 2242251108 is about 1308.8646823038.

The spelling of 2242251108 in words is "two billion, two hundred forty-two million, two hundred fifty-one thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 797 1594 2391 3188 4597 4782 7173 9194 9564 13549 13791 14346 18388 27098 27582 28692 40647 41373 54196 55164 78149 81294 82746 121941 156298 162588 165492 234447 243882 312596 468894 487764 703341 937788 1406682 2813364 3663809 7327618 10991427 14655236 21982854 32974281 43965708 62284753 65948562 124569506 131897124 186854259 249139012 373708518 560562777 747417036 1121125554 2242251108