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2242345752 = 233231143691
BaseRepresentation
bin1000010110100111…
…0111101100011000
312210021100222002200
42011221313230120
514043020031002
61010301130200
7106365424113
oct20551675430
95707328080
102242345752
11a50822609
12526b59960
13299739b0a
14173b4157a
15d1cd3b1c
hex85a77b18

2242345752 has 24 divisors (see below), whose sum is σ = 6073019940. Its totient is φ = 747448560.

The previous prime is 2242345697. The next prime is 2242345753. The reversal of 2242345752 is 2575432422.

2242345752 is a `hidden beast` number, since 2 + 242 + 345 + 75 + 2 = 666.

2242345752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×22423457522 = 10056228943024891008, which contains 22 as substring.

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 (2242345753) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15571774 + ... + 15571917.

Almost surely, 22242345752 is an apocalyptic number.

It is an amenable number.

2242345752 is an abundant number, since it is smaller than the sum of its proper divisors (3830674188).

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

2242345752 is a wasteful number, since it uses less digits than its factorization.

2242345752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31143703 (or 31143696 counting only the distinct ones).

The product of its digits is 134400, while the sum is 36.

The square root of 2242345752 is about 47353.4133088630. The cubic root of 2242345752 is about 1308.8830974946.

The spelling of 2242345752 in words is "two billion, two hundred forty-two million, three hundred forty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 31143691 62287382 93431073 124574764 186862146 249149528 280293219 373724292 560586438 747448584 1121172876 2242345752