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2249811096 = 2331312756779
BaseRepresentation
bin1000011000011001…
…0110010010011000
312210210102020121220
42012012112102120
514101422423341
61011125132040
7106516036011
oct20606262230
95723366556
102249811096
11a54a61415
1252955a020
1329b151a90
14174b26008
15d27aaa66
hex86196498

2249811096 has 64 divisors (see below), whose sum is σ = 6104985600. Its totient is φ = 686786688.

The previous prime is 2249811043. The next prime is 2249811101. The reversal of 2249811096 is 6901189422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11235 + ... + 68013.

It is an arithmetic number, because the mean of its divisors is an integer number (95390400).

Almost surely, 22249811096 is an apocalyptic number.

2249811096 is a gapful number since it is divisible by the number (26) 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 2249811096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052492800).

2249811096 is an abundant number, since it is smaller than the sum of its proper divisors (3855174504).

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

2249811096 is a wasteful number, since it uses less digits than its factorization.

2249811096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56928 (or 56924 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 2249811096 is about 47432.1736377324. The cubic root of 2249811096 is about 1310.3340243350.

The spelling of 2249811096 in words is "two billion, two hundred forty-nine million, eight hundred eleven thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 127 156 254 312 381 508 762 1016 1524 1651 3048 3302 4953 6604 9906 13208 19812 39624 56779 113558 170337 227116 340674 454232 681348 738127 1362696 1476254 2214381 2952508 4428762 5905016 7210933 8857524 14421866 17715048 21632799 28843732 43265598 57687464 86531196 93742129 173062392 187484258 281226387 374968516 562452774 749937032 1124905548 2249811096