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2296161252 = 22327112832927
BaseRepresentation
bin1000100011011100…
…1010001111100100
312221000122002002100
42020313022033210
514200304130002
61015502412100
7110621022450
oct21067121744
95830562070
102296161252
11a79139a30
12540b91030
132a792cac8
1417ad4d660
15d68b411c
hex88dca3e4

2296161252 has 144 divisors (see below), whose sum is σ = 7264438272. Its totient is φ = 594095040.

The previous prime is 2296161223. The next prime is 2296161269. The reversal of 2296161252 is 2521616922.

2296161252 is a `hidden beast` number, since 2 + 29 + 616 + 12 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 783013 + ... + 785939.

It is an arithmetic number, because the mean of its divisors is an integer number (50447488).

Almost surely, 22296161252 is an apocalyptic number.

2296161252 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 2296161252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632219136).

2296161252 is an abundant number, since it is smaller than the sum of its proper divisors (4968277020).

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

2296161252 is a wasteful number, since it uses less digits than its factorization.

2296161252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3233 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 2296161252 is about 47918.2768054111. The cubic root of 2296161252 is about 1319.2713402672.

The spelling of 2296161252 in words is "two billion, two hundred ninety-six million, one hundred sixty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 283 308 396 462 566 693 849 924 1132 1386 1698 1981 2547 2772 2927 3113 3396 3962 5094 5854 5943 6226 7924 8781 9339 10188 11708 11886 12452 17562 17829 18678 20489 21791 23772 26343 28017 32197 35124 35658 37356 40978 43582 52686 56034 61467 64394 65373 71316 81956 87164 96591 105372 112068 122934 128788 130746 184401 193182 196119 225379 245868 261492 289773 368802 386364 392238 450758 579546 676137 737604 784476 828341 901516 1159092 1352274 1656682 2028411 2485023 2704548 3313364 4056822 4970046 5798387 7455069 8113644 9111751 9940092 11596774 14910138 17395161 18223502 23193548 27335253 29820276 34790322 36447004 52185483 54670506 63782257 69580644 82005759 104370966 109341012 127564514 164011518 191346771 208741932 255129028 328023036 382693542 574040313 765387084 1148080626 2296161252