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2299490208 = 25343723977
BaseRepresentation
bin1000100100001111…
…0110111110100000
312221020220012120000
42021003312332200
514202132141313
61020102020000
7110661226041
oct21103667640
95836805500
102299490208
11a80003034
12542117600
132a85270c2
1417b5788c8
15d6d20673
hex890f6fa0

2299490208 has 120 divisors (see below), whose sum is σ = 6945803172. Its totient is φ = 745749504.

The previous prime is 2299490189. The next prime is 2299490213. The reversal of 2299490208 is 8020949922.

It is a Cunningham number, because it is equal to 479532-1.

It can be written as a sum of positive squares in 2 ways, for example, as 2213890704 + 85599504 = 47052^2 + 9252^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 83916 + ... + 107892.

Almost surely, 22299490208 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 2299490208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472901586).

2299490208 is an abundant number, since it is smaller than the sum of its proper divisors (4646312964).

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

2299490208 is a wasteful number, since it uses less digits than its factorization.

2299490208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24036 (or 24019 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2299490208 is about 47952.9999895731. Note that the first 4 decimals coincide. The cubic root of 2299490208 is about 1319.9085887111.

The spelling of 2299490208 in words is "two billion, two hundred ninety-nine million, four hundred ninety thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 288 296 324 333 432 444 592 648 666 864 888 999 1184 1296 1332 1776 1998 2592 2664 2997 3552 3996 5328 5994 7992 10656 11988 15984 23976 23977 31968 47952 47954 71931 95904 95908 143862 191816 215793 287724 383632 431586 575448 647379 767264 863172 887149 1150896 1294758 1726344 1774298 1942137 2301792 2589516 2661447 3452688 3548596 3884274 5179032 5322894 6905376 7097192 7768548 7984341 10358064 10645788 14194384 15537096 15968682 20716128 21291576 23953023 28388768 31074192 31937364 42583152 47906046 62148384 63874728 71859069 85166304 95812092 127749456 143718138 191624184 255498912 287436276 383248368 574872552 766496736 1149745104 2299490208