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2242642368 = 26330738047
BaseRepresentation
bin1000010110101100…
…0000000111000000
312210021221000222110
42011223000013000
514043104023433
61010311335320
7106401100641
oct20553000700
95707830873
102242642368
11a50a0544a
12527081540
13299811b25
14173bbb6c8
15d1d41963
hex85ac01c0

2242642368 has 56 divisors (see below), whose sum is σ = 5953142272. Its totient is φ = 745092864.

The previous prime is 2242642361. The next prime is 2242642403. The reversal of 2242642368 is 8632462422.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242642361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39921 + ... + 77967.

It is an arithmetic number, because the mean of its divisors is an integer number (106306112).

Almost surely, 22242642368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242642368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976571136).

2242642368 is an abundant number, since it is smaller than the sum of its proper divisors (3710499904).

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

2242642368 is a wasteful number, since it uses less digits than its factorization.

2242642368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38369 (or 38359 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 2242642368 is about 47356.5451442565. The cubic root of 2242642368 is about 1308.9408076777.

The spelling of 2242642368 in words is "two billion, two hundred forty-two million, six hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 307 614 921 1228 1842 2456 3684 4912 7368 9824 14736 19648 29472 38047 58944 76094 114141 152188 228282 304376 456564 608752 913128 1217504 1826256 2435008 3652512 7305024 11680429 23360858 35041287 46721716 70082574 93443432 140165148 186886864 280330296 373773728 560660592 747547456 1121321184 2242642368