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2230044320 = 25572968659
BaseRepresentation
bin1000010011101011…
…1100011010100000
312202102012222201002
42010322330122200
514031342404240
61005141331132
7106156030640
oct20472743240
95672188632
102230044320
11a44890339
12522a06aa8
1329702086a
1417225c520
15d0ba3d15
hex84ebc6a0

2230044320 has 96 divisors (see below), whose sum is σ = 6228835200. Its totient is φ = 738210816.

The previous prime is 2230044317. The next prime is 2230044329. The reversal of 2230044320 is 234400322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2230044292 and 2230044301.

It is not an unprimeable number, because it can be changed into a prime (2230044329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1850 + ... + 66809.

It is an arithmetic number, because the mean of its divisors is an integer number (64883700).

Almost surely, 22230044320 is an apocalyptic number.

2230044320 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 2230044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114417600).

2230044320 is an abundant number, since it is smaller than the sum of its proper divisors (3998790880).

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

2230044320 is a wasteful number, since it uses less digits than its factorization.

2230044320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68710 (or 68702 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2230044320 is about 47223.3450742321. The cubic root of 2230044320 is about 1306.4852112782.

Adding to 2230044320 its reverse (234400322), we get a palindrome (2464444642).

The spelling of 2230044320 in words is "two billion, two hundred thirty million, forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 70 80 112 116 140 145 160 203 224 232 280 290 406 464 560 580 812 928 1015 1120 1160 1624 2030 2320 3248 4060 4640 6496 8120 16240 32480 68659 137318 274636 343295 480613 549272 686590 961226 1098544 1373180 1922452 1991111 2197088 2403065 2746360 3844904 3982222 4806130 5492720 7689808 7964444 9612260 9955555 10985440 13937777 15379616 15928888 19224520 19911110 27875554 31857776 38449040 39822220 55751108 63715552 69688885 76898080 79644440 111502216 139377770 159288880 223004432 278755540 318577760 446008864 557511080 1115022160 2230044320