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1821334020 = 22351112772161
BaseRepresentation
bin110110010001111…
…0101101000000100
311200221011100120120
41230203311220010
512212230142040
6500421301540
763064040502
oct15443655004
94627140516
101821334020
11855106230
12429b648b0
1323044c74c
14133c6b672
15a9d6e7d0
hex6c8f5a04

1821334020 has 96 divisors (see below), whose sum is σ = 5570280576. Its totient is φ = 440985600.

The previous prime is 1821334007. The next prime is 1821334027. The reversal of 1821334020 is 204331281.

It is a super-2 number, since 2×18213340202 = 6634515224818720800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1821334027) 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, 841740 + ... + 843900.

It is an arithmetic number, because the mean of its divisors is an integer number (58023756).

Almost surely, 21821334020 is an apocalyptic number.

1821334020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1821334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785140288).

1821334020 is an abundant number, since it is smaller than the sum of its proper divisors (3748946556).

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

1821334020 is a wasteful number, since it uses less digits than its factorization.

1821334020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1821334020 is about 42677.0901069883. The cubic root of 1821334020 is about 1221.2273816372.

The spelling of 1821334020 in words is "one billion, eight hundred twenty-one million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1277 2161 2554 3831 4322 5108 6385 6483 7662 8644 10805 12770 12966 14047 15324 19155 21610 23771 25540 25932 28094 32415 38310 42141 43220 47542 56188 64830 70235 71313 76620 84282 95084 118855 129660 140470 142626 168564 210705 237710 280940 285252 356565 421410 475420 713130 842820 1426260 2759597 5519194 8278791 11038388 13797985 16557582 27595970 30355567 33115164 41393955 55191940 60711134 82787910 91066701 121422268 151777835 165575820 182133402 303555670 364266804 455333505 607111340 910667010 1821334020