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2273819964 = 2231321736481
BaseRepresentation
bin1000011110000111…
…1011110100111100
312212110121000121020
42013201323310330
514124044214324
61013343504140
7110230102503
oct20741736474
95773530536
102273819964
11a6756a659
125355b8050
132a3109b00
14177db583a
15d494e679
hex8787bd3c

2273819964 has 72 divisors (see below), whose sum is σ = 5779195632. Its totient is φ = 695485440.

The previous prime is 2273819959. The next prime is 2273820007. The reversal of 2273819964 is 4699183722.

It is a super-2 number, since 2×22738199642 = 10340514457369922592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347604 + ... + 354084.

It is an arithmetic number, because the mean of its divisors is an integer number (80266606).

Almost surely, 22273819964 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 2273819964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889597816).

2273819964 is an abundant number, since it is smaller than the sum of its proper divisors (3505375668).

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

2273819964 is a wasteful number, since it uses less digits than its factorization.

2273819964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6687 (or 6672 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 2273819964 is about 47684.5883278864. The cubic root of 2273819964 is about 1314.9786199399.

The spelling of 2273819964 in words is "two billion, two hundred seventy-three million, eight hundred nineteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 173 338 346 507 519 676 692 1014 1038 2028 2076 2249 4498 6481 6747 8996 12962 13494 19443 25924 26988 29237 38886 58474 77772 84253 87711 116948 168506 175422 252759 337012 350844 505518 1011036 1095289 1121213 2190578 2242426 3285867 3363639 4381156 4484852 6571734 6727278 13143468 13454556 14575769 29151538 43727307 58303076 87454614 174909228 189484997 378969994 568454991 757939988 1136909982 2273819964