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2280612432 = 243729593967
BaseRepresentation
bin1000011111101111…
…0110001001010000
312212221101010010010
42013323312021100
514132314044212
61014145234520
7110341612560
oct20773661120
95787333103
102280612432
11a7038996a
12537932a40
132a4647717
14178c62da0
15d534203c
hex87ef6250

2280612432 has 160 divisors (see below), whose sum is σ = 7085260800. Its totient is φ = 618315264.

The previous prime is 2280612431. The next prime is 2280612511. The reversal of 2280612432 is 2342160822.

2280612432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2280612432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280612431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 572913 + ... + 576879.

It is an arithmetic number, because the mean of its divisors is an integer number (44282880).

Almost surely, 22280612432 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 2280612432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542630400).

2280612432 is an abundant number, since it is smaller than the sum of its proper divisors (4804648368).

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

2280612432 is a wasteful number, since it uses less digits than its factorization.

2280612432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4073 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2280612432 is about 47755.7581030811. The cubic root of 2280612432 is about 1316.2867081029.

The spelling of 2280612432 in words is "two billion, two hundred eighty million, six hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 59 84 87 112 116 118 168 174 177 203 232 236 336 348 354 406 413 464 472 609 696 708 812 826 944 1218 1239 1392 1416 1624 1652 1711 2436 2478 2832 3248 3304 3422 3967 4872 4956 5133 6608 6844 7934 9744 9912 10266 11901 11977 13688 15868 19824 20532 23802 23954 27376 27769 31736 35931 41064 47604 47908 55538 63472 71862 82128 83307 95208 95816 111076 115043 143724 166614 190416 191632 222152 230086 234053 287448 333228 345129 444304 460172 468106 574896 666456 690258 702159 805301 920344 936212 1332912 1380516 1404318 1610602 1638371 1840688 1872424 2415903 2761032 2808636 3221204 3276742 3744848 4831806 4915113 5522064 5617272 6442408 6553484 6787537 9663612 9830226 11234544 12884816 13106968 13575074 19327224 19660452 20362611 26213936 27150148 38654448 39320904 40725222 47512759 54300296 78641808 81450444 95025518 108600592 142538277 162900888 190051036 285076554 325801776 380102072 570153108 760204144 1140306216 2280612432