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2299900896 = 2532171014651
BaseRepresentation
bin1000100100010101…
…1011001111100000
312221021200001220200
42021011123033200
514202233312041
61020114505200
7110664556266
oct21105331740
95837601820
102299900896
11a80263647
12542295200
132a863c007
1417b644436
15d6da21b6
hex8915b3e0

2299900896 has 144 divisors (see below), whose sum is σ = 6995137968. Its totient is φ = 714240000.

The previous prime is 2299900891. The next prime is 2299900901. The reversal of 2299900896 is 6980099922.

It is an interprime number because it is at equal distance from previous prime (2299900891) and next prime (2299900901).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2299900891) 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, 492171 + ... + 496821.

It is an arithmetic number, because the mean of its divisors is an integer number (48577347).

Almost surely, 22299900896 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 2299900896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497568984).

2299900896 is an abundant number, since it is smaller than the sum of its proper divisors (4695237072).

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

2299900896 is a wasteful number, since it uses less digits than its factorization.

2299900896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4785 (or 4774 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 2299900896 is about 47957.2819913723. The cubic root of 2299900896 is about 1319.9871624096.

The spelling of 2299900896 in words is "two billion, two hundred ninety-nine million, nine hundred thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 101 102 136 144 153 202 204 272 288 303 306 404 408 544 606 612 808 816 909 1212 1224 1616 1632 1717 1818 2424 2448 3232 3434 3636 4651 4848 4896 5151 6868 7272 9302 9696 10302 13736 13953 14544 15453 18604 20604 27472 27906 29088 30906 37208 41208 41859 54944 55812 61812 74416 79067 82416 83718 111624 123624 148832 158134 164832 167436 223248 237201 247248 316268 334872 446496 469751 474402 494496 632536 669744 711603 939502 948804 1265072 1339488 1409253 1423206 1879004 1897608 2530144 2818506 2846412 3758008 3795216 4227759 5637012 5692824 7516016 7590432 7985767 8455518 11274024 11385648 15032032 15971534 16911036 22548048 22771296 23957301 31943068 33822072 45096096 47914602 63886136 67644144 71871903 95829204 127772272 135288288 143743806 191658408 255544544 287487612 383316816 574975224 766633632 1149950448 2299900896