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2874322220 = 2257114145523
BaseRepresentation
bin1010101101010010…
…1010110100101100
321102022112200211112
42223110222310230
521341311302340
61153114411152
7131141223110
oct25324526454
97368480745
102874322220
111245530910
12682730ab8
1336a6501a3
141d3a4d740
1511c51b065
hexab52ad2c

2874322220 has 96 divisors (see below), whose sum is σ = 7709216256. Its totient is φ = 874022400.

The previous prime is 2874322193. The next prime is 2874322237. The reversal of 2874322220 is 222234782.

2874322220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40379 + ... + 85901.

It is an arithmetic number, because the mean of its divisors is an integer number (80304336).

Almost surely, 22874322220 is an apocalyptic number.

2874322220 is a gapful number since it is divisible by the number (20) 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 2874322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854608128).

2874322220 is an abundant number, since it is smaller than the sum of its proper divisors (4834894036).

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

2874322220 is a wasteful number, since it uses less digits than its factorization.

2874322220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45591 (or 45589 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 2874322220 is about 53612.7057701810. The cubic root of 2874322220 is about 1421.8217410764.

The spelling of 2874322220 in words is "two billion, eight hundred seventy-four million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 41 44 55 70 77 82 110 140 154 164 205 220 287 308 385 410 451 574 770 820 902 1148 1435 1540 1804 2255 2870 3157 4510 5740 6314 9020 12628 15785 31570 45523 63140 91046 182092 227615 318661 455230 500753 637322 910460 1001506 1274644 1593305 1866443 2003012 2503765 3186610 3505271 3732886 5007530 6373220 7010542 7465772 9332215 10015060 13065101 14021084 17526355 18664430 20530873 26130202 35052710 37328860 41061746 52260404 65325505 70105420 82123492 102654365 130651010 143716111 205308730 261302020 287432222 410617460 574864444 718580555 1437161110 2874322220