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2302313020 = 225722718669
BaseRepresentation
bin1000100100111010…
…1000001000111100
312221110012121201121
42021032220020330
514203343004040
61020242320324
7111024223600
oct21116501074
95843177647
102302313020
11a81660937
125430590a4
132a8ca4bc7
1417bab1500
15d71cbc4a
hex893a823c

2302313020 has 72 divisors (see below), whose sum is σ = 5645626560. Its totient is φ = 786360960.

The previous prime is 2302312997. The next prime is 2302313047. The reversal of 2302313020 is 203132032.

It is a junction number, because it is equal to n+sod(n) for n = 2302312985 and 2302313003.

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 23 ways as a sum of consecutive naturals, for example, 261246 + ... + 269914.

It is an arithmetic number, because the mean of its divisors is an integer number (78411480).

Almost surely, 22302313020 is an apocalyptic number.

2302313020 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 2302313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822813280).

2302313020 is an abundant number, since it is smaller than the sum of its proper divisors (3343313540).

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

2302313020 is a wasteful number, since it uses less digits than its factorization.

2302313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8963 (or 8954 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2302313020 is about 47982.4240738210. The cubic root of 2302313020 is about 1320.4484663809.

Adding to 2302313020 its reverse (203132032), we get a palindrome (2505445052).

The spelling of 2302313020 in words is "two billion, three hundred two million, three hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 271 490 542 980 1084 1355 1897 2710 3794 5420 7588 8669 9485 13279 17338 18970 26558 34676 37940 43345 53116 60683 66395 86690 121366 132790 173380 242732 265580 303415 424781 606830 849562 1213660 1699124 2123905 2349299 4247810 4698598 8495620 9397196 11746495 16445093 23492990 32890186 46985980 65780372 82225465 115115651 164450930 230231302 328901860 460462604 575578255 1151156510 2302313020