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2299829112 = 23347272431
BaseRepresentation
bin1000100100010100…
…1001101101111000
312221021112102110000
42021011021231320
514202224012422
61020113153000
7110664140100
oct21105115570
95837472400
102299829112
11a80214719
1254225b760
132a8615439
1417b626200
15d6d8acac
hex89149b78

2299829112 has 120 divisors (see below), whose sum is σ = 7493452560. Its totient is φ = 657084960.

The previous prime is 2299829099. The next prime is 2299829131. The reversal of 2299829112 is 2119289922.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4464 + ... + 67967.

It is an arithmetic number, because the mean of its divisors is an integer number (62445438).

Almost surely, 22299829112 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 2299829112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746726280).

2299829112 is an abundant number, since it is smaller than the sum of its proper divisors (5193623448).

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

2299829112 is a wasteful number, since it uses less digits than its factorization.

2299829112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72463 (or 72443 counting only the distinct ones).

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

The square root of 2299829112 is about 47956.5335694731. The cubic root of 2299829112 is about 1319.9734292172.

The spelling of 2299829112 in words is "two billion, two hundred ninety-nine million, eight hundred twenty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1764 2268 2646 3528 3969 4536 5292 7938 10584 15876 31752 72431 144862 217293 289724 434586 507017 579448 651879 869172 1014034 1303758 1521051 1738344 1955637 2028068 2607516 3042102 3549119 3911274 4056136 4563153 5215032 5866911 6084204 7098238 7822548 9126306 10647357 11733822 12168408 13689459 14196476 15645096 18252612 21294714 23467644 27378918 28392952 31942071 36505224 41068377 42589428 46935288 54757836 63884142 82136754 85178856 95826213 109515672 127768284 164273508 191652426 255536568 287478639 328547016 383304852 574957278 766609704 1149914556 2299829112