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2189166912 = 26341732441
BaseRepresentation
bin1000001001111100…
…0000100101000000
312122120022012110000
42002133000211000
513440411320122
61001121240000
7105151416552
oct20237004500
95576265400
102189166912
11a23800559
12511193000
1328b70a84a
1416aa5b4d2
15cc2cc0ac
hex827c0940

2189166912 has 140 divisors (see below), whose sum is σ = 6529561236. Its totient is φ = 725207040.

The previous prime is 2189166829. The next prime is 2189166919. The reversal of 2189166912 is 2196619812.

It can be written as a sum of positive squares in 2 ways, for example, as 1106493696 + 1082673216 = 33264^2 + 32904^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2189166919) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 895612 + ... + 898052.

Almost surely, 22189166912 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 2189166912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264780618).

2189166912 is an abundant number, since it is smaller than the sum of its proper divisors (4340394324).

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

2189166912 is a wasteful number, since it uses less digits than its factorization.

2189166912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 2619 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 2189166912 is about 46788.5339800255. The cubic root of 2189166912 is about 1298.4531724392.

Subtracting 2189166912 from its reverse (2196619812), we obtain a square (7452900 = 27302).

The spelling of 2189166912 in words is "two billion, one hundred eighty-nine million, one hundred sixty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 173 192 216 288 324 346 432 519 576 648 692 864 1038 1296 1384 1557 1728 2076 2441 2592 2768 3114 4152 4671 4882 5184 5536 6228 7323 8304 9342 9764 11072 12456 14013 14646 16608 18684 19528 21969 24912 28026 29292 33216 37368 39056 43938 49824 56052 58584 65907 74736 78112 87876 99648 112104 117168 131814 149472 156224 175752 197721 224208 234336 263628 298944 351504 395442 422293 448416 468672 527256 703008 790884 844586 896832 1054512 1266879 1406016 1581768 1689172 2109024 2533758 3163536 3378344 3800637 4218048 5067516 6327072 6756688 7601274 10135032 11401911 12654144 13513376 15202548 20270064 22803822 27026752 30405096 34205733 40540128 45607644 60810192 68411466 81080256 91215288 121620384 136822932 182430576 243240768 273645864 364861152 547291728 729722304 1094583456 2189166912