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2230553304 = 2332722712333
BaseRepresentation
bin1000010011110011…
…1000101011011000
312202110011211220100
42010330320223120
514032010201204
61005200255400
7106163250600
oct20474705330
95673154810
102230553304
11a450a8791
12523011560
1329716b435
14172351c00
15d0c54a39
hex84f38ad8

2230553304 has 144 divisors (see below), whose sum is σ = 7056335520. Its totient is φ = 634677120.

The previous prime is 2230553291. The next prime is 2230553309. The reversal of 2230553304 is 4033550322.

2230553304 is a `hidden beast` number, since 2 + 2 + 305 + 53 + 304 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230553309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 954922 + ... + 957254.

It is an arithmetic number, because the mean of its divisors is an integer number (49002330).

Almost surely, 22230553304 is an apocalyptic number.

2230553304 is a gapful number since it is divisible by the number (24) 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 2230553304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528167760).

2230553304 is an abundant number, since it is smaller than the sum of its proper divisors (4825782216).

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

2230553304 is a wasteful number, since it uses less digits than its factorization.

2230553304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 2230553304 is about 47228.7338809755. The cubic root of 2230553304 is about 1306.5846008550.

The spelling of 2230553304 in words is "two billion, two hundred thirty million, five hundred fifty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 271 294 392 441 504 542 588 813 882 1084 1176 1626 1764 1897 2168 2333 2439 3252 3528 3794 4666 4878 5691 6504 6999 7588 9332 9756 11382 13279 13998 15176 16331 17073 18664 19512 20997 22764 26558 27996 32662 34146 39837 41994 45528 48993 53116 55992 65324 68292 79674 83988 97986 106232 114317 119511 130648 136584 146979 159348 167976 195972 228634 239022 293958 318696 342951 391944 457268 478044 587916 632243 685902 914536 956088 1028853 1175832 1264486 1371804 1896729 2057706 2528972 2743608 3793458 4115412 4425701 5057944 5690187 7586916 8230824 8851402 11380374 13277103 15173832 17702804 22760748 26554206 30979907 35405608 39831309 45521496 53108412 61959814 79662618 92939721 106216824 123919628 159325236 185879442 247839256 278819163 318650472 371758884 557638326 743517768 1115276652 2230553304