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2413232240 = 245433172213
BaseRepresentation
bin1000111111010111…
…0000000001110000
320020011220220021212
42033311300001300
514420241412430
61035243535252
7113542064336
oct21765600160
96204826255
102413232240
111029230111
1257422a528
132c5c6c793
1418c705b56
15e1cdbb95
hex8fd70070

2413232240 has 80 divisors (see below), whose sum is σ = 5761961568. Its totient is φ = 939445248.

The previous prime is 2413232189. The next prime is 2413232267. The reversal of 2413232240 is 422323142.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1089374 + ... + 1091586.

Almost surely, 22413232240 is an apocalyptic number.

2413232240 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 2413232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880980784).

2413232240 is an abundant number, since it is smaller than the sum of its proper divisors (3348729328).

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

2413232240 is a wasteful number, since it uses less digits than its factorization.

2413232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2413232240 is about 49124.6602023872. The cubic root of 2413232240 is about 1341.3219745064.

Adding to 2413232240 its reverse (422323142), we get a palindrome (2835555382).

The spelling of 2413232240 in words is "two billion, four hundred thirteen million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 317 344 430 634 688 860 1268 1585 1720 2213 2536 3170 3440 4426 5072 6340 8852 11065 12680 13631 17704 22130 25360 27262 35408 44260 54524 68155 88520 95159 109048 136310 177040 190318 218096 272620 380636 475795 545240 701521 761272 951590 1090480 1403042 1522544 1903180 2806084 3507605 3806360 5612168 7015210 7612720 11224336 14030420 28060840 30165403 56121680 60330806 120661612 150827015 241323224 301654030 482646448 603308060 1206616120 2413232240