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2304233140 = 2251189137859
BaseRepresentation
bin1000100101010111…
…1100111010110100
312221120211011122011
42021111330322310
514204340430030
61020351414004
7111046441606
oct21125747264
95846734564
102304233140
11a82752510
12543824304
132a94c7b81
1417c051176
15d745ab2a
hex8957ceb4

2304233140 has 96 divisors (see below), whose sum is σ = 5383324800. Its totient is φ = 821483520.

The previous prime is 2304233117. The next prime is 2304233147. The reversal of 2304233140 is 413324032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2304233147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2682031 + ... + 2682889.

It is an arithmetic number, because the mean of its divisors is an integer number (56076300).

Almost surely, 22304233140 is an apocalyptic number.

2304233140 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 2304233140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691662400).

2304233140 is an abundant number, since it is smaller than the sum of its proper divisors (3079091660).

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

2304233140 is a wasteful number, since it uses less digits than its factorization.

2304233140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2304233140 is about 48002.4284802342. The cubic root of 2304233140 is about 1320.8154473214.

Adding to 2304233140 its reverse (413324032), we get a palindrome (2717557172).

The spelling of 2304233140 in words is "two billion, three hundred four million, two hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 137 178 220 274 356 445 548 685 859 890 979 1370 1507 1718 1780 1958 2740 3014 3436 3916 4295 4895 6028 7535 8590 9449 9790 12193 15070 17180 18898 19580 24386 30140 37796 47245 48772 60965 76451 94490 117683 121930 134123 152902 188980 235366 243860 268246 305804 382255 470732 536492 588415 670615 764510 840961 1176830 1294513 1341230 1529020 1681922 2353660 2589026 2682460 3363844 4204805 5178052 6472565 8409610 10473787 12945130 16819220 20947574 25890260 41895148 52368935 104737870 115211657 209475740 230423314 460846628 576058285 1152116570 2304233140