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2242586416 = 247171961991
BaseRepresentation
bin1000010110101011…
…0010011100110000
312210021211012020011
42011222302130300
514043100231131
61010310224304
7106400445550
oct20552623460
95707735204
102242586416
11a50977404
12527055094
132997c2515
14173ba5160
15d1d300b1
hex85ab2730

2242586416 has 80 divisors (see below), whose sum is σ = 5534645760. Its totient is φ = 856949760.

The previous prime is 2242586377. The next prime is 2242586419. The reversal of 2242586416 is 6146852422.

It is not an unprimeable number, because it can be changed into a prime (2242586419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5181 + ... + 67171.

It is an arithmetic number, because the mean of its divisors is an integer number (69183072).

Almost surely, 22242586416 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 2242586416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767322880).

2242586416 is an abundant number, since it is smaller than the sum of its proper divisors (3292059344).

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

2242586416 is a wasteful number, since it uses less digits than its factorization.

2242586416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62042 (or 62036 counting only the distinct ones).

The product of its digits is 184320, while the sum is 40.

The square root of 2242586416 is about 47355.9543880176. The cubic root of 2242586416 is about 1308.9299219377.

The spelling of 2242586416 in words is "two billion, two hundred forty-two million, five hundred eighty-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 19 28 34 38 56 68 76 112 119 133 136 152 238 266 272 304 323 476 532 646 952 1064 1292 1904 2128 2261 2584 4522 5168 9044 18088 36176 61991 123982 247964 433937 495928 867874 991856 1053847 1177829 1735748 2107694 2355658 3471496 4215388 4711316 6942992 7376929 8244803 8430776 9422632 14753858 16489606 16861552 18845264 20023093 29507716 32979212 40046186 59015432 65958424 80092372 118030864 131916848 140161651 160184744 280323302 320369488 560646604 1121293208 2242586416