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2286272352 = 253713261707
BaseRepresentation
bin1000100001000101…
…1011111101100000
312220100000200001210
42020101123331200
514140241203402
61014510430120
7110440665030
oct21021337540
95810020053
102286272352
11a735a5291
12539802340
132a58799a0
141798d78c0
15d5aae06c
hex8845bf60

2286272352 has 96 divisors (see below), whose sum is σ = 7386446592. Its totient is φ = 602970624.

The previous prime is 2286272347. The next prime is 2286272369. The reversal of 2286272352 is 2532726822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×22862723522 = 10454082535039223808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2286272352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122118 + ... + 139589.

It is an arithmetic number, because the mean of its divisors is an integer number (76942152).

Almost surely, 22286272352 is an apocalyptic number.

It is an amenable number.

2286272352 is an abundant number, since it is smaller than the sum of its proper divisors (5100174240).

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

2286272352 is a wasteful number, since it uses less digits than its factorization.

2286272352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261740 (or 261732 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 2286272352 is about 47814.9804140920. The cubic root of 2286272352 is about 1317.3747086704.

The spelling of 2286272352 in words is "two billion, two hundred eighty-six million, two hundred seventy-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 261707 523414 785121 1046828 1570242 1831949 2093656 3140484 3402191 3663898 4187312 5495847 6280968 6804382 7327796 8374624 10206573 10991694 12561936 13608764 14655592 20413146 21983388 23815337 25123872 27217528 29311184 40826292 43966776 47630674 54435056 58622368 71446011 81652584 87933552 95261348 108870112 142892022 163305168 175867104 190522696 285784044 326610336 381045392 571568088 762090784 1143136176 2286272352