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2230295076 = 22321724632
BaseRepresentation
bin1000010011101111…
…1001101000100100
312202102200201200100
42010323321220210
514031423420301
61005150544100
7106161124002
oct20473715044
95672621610
102230295076
11a44a41779
12522b08030
132970aaa39
141722c5a72
15d0c03286
hex84ef9a24

2230295076 has 81 divisors (see below), whose sum is σ = 6001789521. Its totient is φ = 698189184.

The previous prime is 2230295063. The next prime is 2230295077. The reversal of 2230295076 is 6705920322.

The square root of 2230295076 is 47226.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1736388900 + 493906176 = 41670^2 + 22224^2 .

It is a super-2 number, since 2×22302950762 = 9948432252059691552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2230295076.

It is not an unprimeable number, because it can be changed into a prime (2230295077) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4816821 + ... + 4817283.

Almost surely, 22230295076 is an apocalyptic number.

2230295076 is the 47226-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230295076

2230295076 is an abundant number, since it is smaller than the sum of its proper divisors (3771494445).

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

2230295076 is a wasteful number, since it uses less digits than its factorization.

2230295076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The cubic root of 2230295076 is about 1306.5341784256.

Multiplying 2230295076 by its sum of digits (36), we get a square (80290622736 = 2833562).

2230295076 divided by its sum of digits (36) gives a square (61952641 = 78712).

The spelling of 2230295076 in words is "two billion, two hundred thirty million, two hundred ninety-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 463 578 612 867 926 1156 1389 1734 1852 2601 2778 3468 4167 5202 5556 7871 8334 10404 15742 16668 23613 31484 47226 70839 94452 133807 141678 214369 267614 283356 401421 428738 535228 643107 802842 857476 1204263 1286214 1605684 1929321 2408526 2572428 3644273 3858642 4817052 7288546 7717284 10932819 14577092 21865638 32798457 43731276 61952641 65596914 123905282 131193828 185857923 247810564 371715846 557573769 743431692 1115147538 2230295076