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2242953752 = 2313176431973
BaseRepresentation
bin1000010110110000…
…1100001000011000
312210022111212010012
42011230030020120
514043144010002
61010322141052
7106403535524
oct20554141030
95708455105
102242953752
11a510a8396
125271b1788
132998c0790
14173c5cd84
15d1da3d52
hex85b0c218

2242953752 has 64 divisors (see below), whose sum is σ = 4805347680. Its totient is φ = 972306432.

The previous prime is 2242953751. The next prime is 2242953761. The reversal of 2242953752 is 2573592422.

It is a super-2 number, since 2×22429537522 = 10061683067221755008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242953751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1135838 + ... + 1137810.

Almost surely, 22242953752 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 2242953752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402673840).

2242953752 is an abundant number, since it is smaller than the sum of its proper divisors (2562393928).

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

2242953752 is a wasteful number, since it uses less digits than its factorization.

2242953752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2648 counting only the distinct ones).

The product of its digits is 302400, while the sum is 41.

The square root of 2242953752 is about 47359.8326855153. The cubic root of 2242953752 is about 1309.0013856768.

The spelling of 2242953752 in words is "two billion, two hundred forty-two million, nine hundred fifty-three thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 643 884 1286 1768 1973 2572 3946 5144 7892 8359 10931 15784 16718 21862 25649 33436 33541 43724 51298 66872 67082 87448 102596 134164 142103 205192 268328 284206 436033 568412 872066 1136824 1268639 1744132 2537278 3488264 5074556 10149112 16492307 21566863 32984614 43133726 65969228 86267452 131938456 172534904 280369219 560738438 1121476876 2242953752