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2233652652 = 2233721138371
BaseRepresentation
bin1000010100100010…
…1101010110101100
312202200000022102000
42011020231112230
514033303341102
61005350532300
7106231506600
oct20510552654
95680008360
102233652652
11a46925330
12524067090
132979b507a
1417291b500
15d116801c
hex8522d5ac

2233652652 has 144 divisors (see below), whose sum is σ = 7349005440. Its totient is φ = 580154400.

The previous prime is 2233652611. The next prime is 2233652657. The reversal of 2233652652 is 2562563322.

2233652652 is a `hidden beast` number, since 223 + 365 + 26 + 52 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (2233652657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39027 + ... + 77397.

It is an arithmetic number, because the mean of its divisors is an integer number (51034760).

Almost surely, 22233652652 is an apocalyptic number.

2233652652 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 2233652652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674502720).

2233652652 is an abundant number, since it is smaller than the sum of its proper divisors (5115352788).

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

2233652652 is a wasteful number, since it uses less digits than its factorization.

2233652652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38409 (or 38394 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 2233652652 is about 47261.5345920972. The cubic root of 2233652652 is about 1307.1894860780.

The spelling of 2233652652 in words is "two billion, two hundred thirty-three million, six hundred fifty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 49 54 63 66 77 84 98 99 108 126 132 147 154 189 196 198 231 252 294 297 308 378 396 441 462 539 588 594 693 756 882 924 1078 1188 1323 1386 1617 1764 2079 2156 2646 2772 3234 4158 4851 5292 6468 8316 9702 14553 19404 29106 38371 58212 76742 115113 153484 230226 268597 345339 422081 460452 537194 690678 805791 844162 1036017 1074388 1266243 1381356 1611582 1688324 1880179 2072034 2417373 2532486 2954567 3223164 3760358 3798729 4144068 4834746 5064972 5640537 5909134 7252119 7520716 7597458 8863701 9669492 11281074 11396187 11818268 14504238 15194916 16921611 17727402 20681969 22562148 22792374 26591103 29008476 33843222 35454804 41363938 45584748 50764833 53182206 62045907 67686444 79773309 82727876 101529666 106364412 124091814 159546618 186137721 203059332 248183628 319093236 372275442 558413163 744550884 1116826326 2233652652