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2226021252 = 2237137128711
BaseRepresentation
bin1000010010101110…
…0110001110000100
312202010122121002120
42010223212032010
514024330140002
61004515205540
7106106603610
oct20453461604
95663577076
102226021252
11a42592794
125215a68b0
13296242650
141718d2340
15d065bcbc
hex84ae6384

2226021252 has 96 divisors (see below), whose sum is σ = 6482939904. Its totient is φ = 578793600.

The previous prime is 2226021227. The next prime is 2226021283. The reversal of 2226021252 is 2521206222.

It is a happy number.

It is a super-2 number, since 2×22260212522 = 9910341228711295008, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 63177 + ... + 91887.

It is an arithmetic number, because the mean of its divisors is an integer number (67530624).

Almost surely, 22226021252 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 2226021252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241469952).

2226021252 is an abundant number, since it is smaller than the sum of its proper divisors (4256918652).

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

2226021252 is a wasteful number, since it uses less digits than its factorization.

2226021252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28809 (or 28807 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2226021252 is about 47180.7296679481. The cubic root of 2226021252 is about 1305.6990919652.

Adding to 2226021252 its reverse (2521206222), we get a palindrome (4747227474).

The spelling of 2226021252 in words is "two billion, two hundred twenty-six million, twenty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 71 78 84 91 142 156 182 213 273 284 364 426 497 546 852 923 994 1092 1491 1846 1988 2769 2982 3692 5538 5964 6461 11076 12922 19383 25844 28711 38766 57422 77532 86133 114844 172266 200977 344532 373243 401954 602931 746486 803908 1119729 1205862 1492972 2038481 2239458 2411724 2612701 4076962 4478916 5225402 6115443 7838103 8153924 10450804 12230886 14269367 15676206 24461772 26500253 28538734 31352412 42808101 53000506 57077468 79500759 85616202 106001012 159001518 171232404 185501771 318003036 371003542 556505313 742007084 1113010626 2226021252