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2292097368 = 2331131127917
BaseRepresentation
bin1000100010011110…
…1010000101011000
312220201222121111010
42020213222011120
514143234103433
61015235333520
7110541335421
oct21047520530
95821877433
102292097368
11a76913750
1253b7512a0
132a6b39142
1417a5b2648
15d635ee63
hex889ea158

2292097368 has 64 divisors (see below), whose sum is σ = 6271499520. Its totient is φ = 692316800.

The previous prime is 2292097321. The next prime is 2292097393. The reversal of 2292097368 is 8637902922.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68146 + ... + 96062.

It is an arithmetic number, because the mean of its divisors is an integer number (97992180).

Almost surely, 22292097368 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 2292097368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135749760).

2292097368 is an abundant number, since it is smaller than the sum of its proper divisors (3979402152).

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

2292097368 is a wasteful number, since it uses less digits than its factorization.

2292097368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28248 (or 28244 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 2292097368 is about 47875.8537051821. The cubic root of 2292097368 is about 1318.4925721158.

The spelling of 2292097368 in words is "two billion, two hundred ninety-two million, ninety-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 311 622 933 1244 1866 2488 3421 3732 6842 7464 10263 13684 20526 27368 27917 41052 55834 82104 83751 111668 167502 223336 307087 335004 614174 670008 921261 1228348 1842522 2456696 3685044 7370088 8682187 17364374 26046561 34728748 52093122 69457496 95504057 104186244 191008114 208372488 286512171 382016228 573024342 764032456 1146048684 2292097368