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2292431320 = 2351910927673
BaseRepresentation
bin1000100010100011…
…1011100111011000
312220202121120120201
42020220323213120
514143330300240
61015250431544
7110544226144
oct21050734730
95822546521
102292431320
11a77021643
1253b8925b4
132a6c2514a
1417a65c224
15d63c8d9a
hex88a3b9d8

2292431320 has 64 divisors (see below), whose sum is σ = 5479452000. Its totient is φ = 860709888.

The previous prime is 2292431291. The next prime is 2292431327. The reversal of 2292431320 is 231342922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2292431327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69004 + ... + 96676.

Almost surely, 22292431320 is an apocalyptic number.

2292431320 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 2292431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739726000).

2292431320 is an abundant number, since it is smaller than the sum of its proper divisors (3187020680).

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

2292431320 is a wasteful number, since it uses less digits than its factorization.

2292431320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27812 (or 27808 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2292431320 is about 47879.3412653098. The cubic root of 2292431320 is about 1318.5566025325.

The spelling of 2292431320 in words is "two billion, two hundred ninety-two million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 109 152 190 218 380 436 545 760 872 1090 2071 2180 4142 4360 8284 10355 16568 20710 27673 41420 55346 82840 110692 138365 221384 276730 525787 553460 1051574 1106920 2103148 2628935 3016357 4206296 5257870 6032714 10515740 12065428 15081785 21031480 24130856 30163570 57310783 60327140 114621566 120654280 229243132 286553915 458486264 573107830 1146215660 2292431320