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2299946320 = 245721734513
BaseRepresentation
bin1000100100010110…
…0110010101010000
312221021202101020001
42021011212111100
514202241240240
61020115455344
7110665135600
oct21105462520
95837671201
102299946320
11a80294791
125422b7554
132a86568a9
1417b656c00
15d6db089a
hex89166550

2299946320 has 120 divisors (see below), whose sum is σ = 6586513704. Its totient is φ = 742146048.

The previous prime is 2299946293. The next prime is 2299946321. The reversal of 2299946320 is 236499922.

It can be written as a sum of positive squares in 4 ways, for example, as 929762064 + 1370184256 = 30492^2 + 37016^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2299946321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49384 + ... + 83896.

Almost surely, 22299946320 is an apocalyptic number.

2299946320 is a gapful number since it is divisible by the number (20) 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 2299946320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293256852).

2299946320 is an abundant number, since it is smaller than the sum of its proper divisors (4286567384).

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

2299946320 is a wasteful number, since it uses less digits than its factorization.

2299946320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34557 (or 34544 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The square root of 2299946320 is about 47957.7555771744. The cubic root of 2299946320 is about 1319.9958524510.

The spelling of 2299946320 in words is "two billion, two hundred ninety-nine million, nine hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 49 56 68 70 80 85 98 112 119 136 140 170 196 238 245 272 280 340 392 476 490 560 595 680 784 833 952 980 1190 1360 1666 1904 1960 2380 3332 3920 4165 4760 6664 8330 9520 13328 16660 33320 34513 66640 69026 138052 172565 241591 276104 345130 483182 552208 586721 690260 966364 1173442 1207955 1380520 1691137 1932728 2346884 2415910 2761040 2933605 3382274 3865456 4107047 4693768 4831820 5867210 6764548 8214094 8455685 9387536 9663640 11734420 13529096 16428188 16911370 19327280 20535235 23468840 27058192 28749329 32856376 33822740 41070470 46937680 57498658 65712752 67645480 82140940 114997316 135290960 143746645 164281880 229994632 287493290 328563760 459989264 574986580 1149973160 2299946320