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2239781652 = 2233611272677
BaseRepresentation
bin1000010110000000…
…0101101100010100
312210002112200211000
42011200011230110
514041341003102
61010130143300
7106334554443
oct20540055424
95702480730
102239781652
11a4a331119
12526121b30
1329904c9b4
14173674d5a
15d197901c
hex85805b14

2239781652 has 96 divisors (see below), whose sum is σ = 5950730240. Its totient is φ = 728300160.

The previous prime is 2239781629. The next prime is 2239781681. The reversal of 2239781652 is 2561879322.

It is a junction number, because it is equal to n+sod(n) for n = 2239781598 and 2239781607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 835338 + ... + 838014.

Almost surely, 22239781652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2239781652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975365120).

2239781652 is an abundant number, since it is smaller than the sum of its proper divisors (3710948588).

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

2239781652 is a wasteful number, since it uses less digits than its factorization.

2239781652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2870 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2239781652 is about 47326.3314868161. The cubic root of 2239781652 is about 1308.3840089567.

The spelling of 2239781652 in words is "two billion, two hundred thirty-nine million, seven hundred eighty-one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 127 183 244 254 366 381 508 549 732 762 1098 1143 1524 1647 2196 2286 2677 3294 3429 4572 5354 6588 6858 7747 8031 10708 13716 15494 16062 23241 24093 30988 32124 46482 48186 69723 72279 92964 96372 139446 144558 163297 209169 278892 289116 326594 339979 418338 489891 653188 679958 836676 979782 1019937 1359916 1469673 1959564 2039874 2939346 3059811 4079748 4409019 5878692 6119622 8818038 9179433 12239244 17636076 18358866 20738719 36717732 41477438 62216157 82954876 124432314 186648471 248864628 373296942 559945413 746593884 1119890826 2239781652