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2240315442 = 233374723857
BaseRepresentation
bin1000010110001000…
…1000000000110010
312210010112211001000
42011202020000302
514042010043232
61010145422430
7106342236621
oct20542100062
95703484030
102240315442
11a4a666172
1252633aa16
132991a8951
141737736b8
15d1a3227c
hex85888032

2240315442 has 64 divisors (see below), whose sum is σ = 5222039040. Its totient is φ = 711099648.

The previous prime is 2240315431. The next prime is 2240315443. The reversal of 2240315442 is 2445130422.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2240315443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81978 + ... + 105834.

It is an arithmetic number, because the mean of its divisors is an integer number (81594360).

Almost surely, 22240315442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240315442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611019520).

2240315442 is an abundant number, since it is smaller than the sum of its proper divisors (2981723598).

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

2240315442 is a wasteful number, since it uses less digits than its factorization.

2240315442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23952 (or 23946 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2240315442 is about 47331.9706118391. The cubic root of 2240315442 is about 1308.4879397461.

Adding to 2240315442 its reverse (2445130422), we get a palindrome (4685445864).

The spelling of 2240315442 in words is "two billion, two hundred forty million, three hundred fifteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 47 54 74 94 111 141 222 282 333 423 666 846 999 1269 1739 1998 2538 3478 5217 10434 15651 23857 31302 46953 47714 71571 93906 143142 214713 429426 644139 882709 1121279 1288278 1765418 2242558 2648127 3363837 5296254 6727674 7944381 10091511 15888762 20183022 23833143 30274533 41487323 47666286 60549066 82974646 124461969 248923938 373385907 746771814 1120157721 2240315442