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2230494112 = 257211177607
BaseRepresentation
bin1000010011110010…
…1010001110100000
312202110001211201001
42010330222032200
514032001302422
61005155121344
7106162613200
oct20474521640
95673054631
102230494112
11a45068270
12522ba3254
1329714a502
14172338400
15d0c42227
hex84f2a3a0

2230494112 has 144 divisors (see below), whose sum is σ = 5901190848. Its totient is φ = 817797120.

The previous prime is 2230494083. The next prime is 2230494127. The reversal of 2230494112 is 2114940322.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 23 ways as a sum of consecutive naturals, for example, 289413 + ... + 297019.

It is an arithmetic number, because the mean of its divisors is an integer number (40980492).

Almost surely, 22230494112 is an apocalyptic number.

2230494112 is a gapful number since it is divisible by the number (22) 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 2230494112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950595424).

2230494112 is an abundant number, since it is smaller than the sum of its proper divisors (3670696736).

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

2230494112 is a wasteful number, since it uses less digits than its factorization.

2230494112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7659 (or 7644 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2230494112 is about 47228.1072244061. The cubic root of 2230494112 is about 1306.5730431786.

The spelling of 2230494112 in words is "two billion, two hundred thirty million, four hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 49 56 68 77 88 98 112 119 136 154 176 187 196 224 238 272 308 352 374 392 476 539 544 616 748 784 833 952 1078 1232 1309 1496 1568 1666 1904 2156 2464 2618 2992 3332 3808 4312 5236 5984 6664 7607 8624 9163 10472 13328 15214 17248 18326 20944 26656 30428 36652 41888 53249 60856 73304 83677 106498 121712 129319 146608 167354 212996 243424 258638 293216 334708 372743 425992 517276 585739 669416 745486 851984 905233 1034552 1171478 1338832 1422509 1490972 1703968 1810466 2069104 2342956 2677664 2845018 2981944 3620932 4100173 4138208 4685912 5690036 5963888 6336631 7241864 8200346 9371824 9957563 11380072 11927776 12673262 14483728 16400692 18743648 19915126 22760144 25346524 28967456 32801384 39830252 45520288 50693048 65602768 69702941 79660504 101386096 131205536 139405882 159321008 202772192 278811764 318642016 557623528 1115247056 2230494112