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2226185220 = 2235719127751
BaseRepresentation
bin1000010010110000…
…1110010000000100
312202010221221000110
42010230032100010
514024400411340
61004522513020
7106111155630
oct20454162004
95663857013
102226185220
11a426949a6
12521665770
1329629c17c
14171935dc0
15d0690680
hex84b0e404

2226185220 has 96 divisors (see below), whose sum is σ = 7161348096. Its totient is φ = 506160000.

The previous prime is 2226185209. The next prime is 2226185239. The reversal of 2226185220 is 225816222.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 66345 + ... + 94095.

It is an arithmetic number, because the mean of its divisors is an integer number (74597376).

Almost surely, 22226185220 is an apocalyptic number.

2226185220 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 2226185220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580674048).

2226185220 is an abundant number, since it is smaller than the sum of its proper divisors (4935162876).

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

2226185220 is a wasteful number, since it uses less digits than its factorization.

2226185220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27961 (or 27959 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2226185220 is about 47182.4672945364. The cubic root of 2226185220 is about 1305.7311503013.

The spelling of 2226185220 in words is "two billion, two hundred twenty-six million, one hundred eighty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 191 210 382 420 573 764 955 1146 1337 1910 2292 2674 2865 3820 4011 5348 5730 6685 8022 11460 13370 16044 20055 26740 27751 40110 55502 80220 83253 111004 138755 166506 194257 277510 333012 388514 416265 555020 582771 777028 832530 971285 1165542 1665060 1942570 2331084 2913855 3885140 5300441 5827710 10600882 11655420 15901323 21201764 26502205 31802646 37103087 53004410 63605292 74206174 79506615 106008820 111309261 148412348 159013230 185515435 222618522 318026460 371030870 445237044 556546305 742061740 1113092610 2226185220