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3822201864 = 2333131361183
BaseRepresentation
bin1110001111010010…
…0010110000001000
3100212101010222021000
43203310202300020
530311440424424
61431135015000
7163501115445
oct34364426010
910771128230
103822201864
111691595918
128a806a460
1348bb3bb10
142838b09cc
151758543c9
hexe3d22c08

3822201864 has 64 divisors (see below), whose sum is σ = 11433945600. Its totient is φ = 1176061248.

The previous prime is 3822201811. The next prime is 3822201869. The reversal of 3822201864 is 4681022283.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3822201869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 677784 + ... + 683399.

It is an arithmetic number, because the mean of its divisors is an integer number (178655400).

Almost surely, 23822201864 is an apocalyptic number.

It is an amenable number.

3822201864 is an abundant number, since it is smaller than the sum of its proper divisors (7611743736).

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

3822201864 is a wasteful number, since it uses less digits than its factorization.

3822201864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361211 (or 1361201 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3822201864 is about 61823.9586568185. The cubic root of 3822201864 is about 1563.5239566531.

The spelling of 3822201864 in words is "three billion, eight hundred twenty-two million, two hundred one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 1361183 2722366 4083549 5444732 8167098 10889464 12250647 16334196 17695379 24501294 32668392 35390758 36751941 49002588 53086137 70781516 73503882 98005176 106172274 141563032 147007764 159258411 212344548 294015528 318516822 424689096 477775233 637033644 955550466 1274067288 1911100932 3822201864