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2285677632 = 26378392027
BaseRepresentation
bin1000100000111100…
…1010110001000000
312220021220110021010
42020033022301000
514140113141012
61014450000520
7110432640120
oct21017126100
95807813233
102285677632
11a73229487
12539576140
132a56cc094
141797c0c80
15d59e2c3c
hex883cac40

2285677632 has 112 divisors (see below), whose sum is σ = 6923105280. Its totient is φ = 651950592.

The previous prime is 2285677631. The next prime is 2285677643. The reversal of 2285677632 is 2367765822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2285677631) 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, 1126603 + ... + 1128629.

It is an arithmetic number, because the mean of its divisors is an integer number (61813440).

Almost surely, 22285677632 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 2285677632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461552640).

2285677632 is an abundant number, since it is smaller than the sum of its proper divisors (4637427648).

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

2285677632 is a wasteful number, since it uses less digits than its factorization.

2285677632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2878 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The square root of 2285677632 is about 47808.7610381194. The cubic root of 2285677632 is about 1317.2604707451.

The spelling of 2285677632 in words is "two billion, two hundred eighty-five million, six hundred seventy-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 839 1344 1678 2027 2517 3356 4054 5034 5873 6081 6712 8108 10068 11746 12162 13424 14189 16216 17619 20136 23492 24324 26848 28378 32432 35238 40272 42567 46984 48648 53696 56756 64864 70476 80544 85134 93968 97296 113512 129728 140952 161088 170268 187936 194592 227024 281904 340536 375872 389184 454048 563808 681072 908096 1127616 1362144 1700653 2724288 3401306 5101959 6802612 10203918 11904571 13605224 20407836 23809142 27210448 35713713 40815672 47618284 54420896 71427426 81631344 95236568 108841792 142854852 163262688 190473136 285709704 326525376 380946272 571419408 761892544 1142838816 2285677632