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2242306352 = 2411132833463
BaseRepresentation
bin1000010110100110…
…1110000100110000
312210021021222001102
42011221232010300
514043012300402
61010300223532
7106365201206
oct20551560460
95707258042
102242306352
11a507a5a50
12526b3aba8
13299724bc0
14173b31076
15d1cc7102
hex85a6e130

2242306352 has 80 divisors (see below), whose sum is σ = 5123505408. Its totient is φ = 937232640.

The previous prime is 2242306349. The next prime is 2242306369. The reversal of 2242306352 is 2536032422.

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 15 ways as a sum of consecutive naturals, for example, 645773 + ... + 649235.

Almost surely, 22242306352 is an apocalyptic number.

2242306352 is a gapful number since it is divisible by the number (22) 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 2242306352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561752704).

2242306352 is an abundant number, since it is smaller than the sum of its proper divisors (2881199056).

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

2242306352 is a wasteful number, since it uses less digits than its factorization.

2242306352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 2242306352 is about 47352.9972863387. The cubic root of 2242306352 is about 1308.8754313714.

Adding to 2242306352 its reverse (2536032422), we get a palindrome (4778338774).

The spelling of 2242306352 in words is "two billion, two hundred forty-two million, three hundred six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 283 286 566 572 1132 1144 2264 2288 3113 3463 3679 4528 6226 6926 7358 12452 13852 14716 24904 27704 29432 38093 40469 45019 49808 55408 58864 76186 80938 90038 152372 161876 180076 304744 323752 360152 495209 609488 647504 720304 980029 990418 1960058 1980836 3920116 3961672 7840232 7923344 10780319 12740377 15680464 21560638 25480754 43121276 50961508 86242552 101923016 140144147 172485104 203846032 280288294 560576588 1121153176 2242306352