Search a number
-
+
2242402112 = 262331157313
BaseRepresentation
bin1000010110101000…
…0101011101000000
312210021110211102002
42011222011131000
514043023331422
61010302243132
7106366050326
oct20552053500
95707424362
102242402112
11a50860995
12526b864a8
13299759672
14173b57d16
15d1ce5692
hex85a85740

2242402112 has 112 divisors (see below), whose sum is σ = 4838956032. Its totient is φ = 1027952640.

The previous prime is 2242402049. The next prime is 2242402139. The reversal of 2242402112 is 2112042422.

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, 7164068 + ... + 7164380.

Almost surely, 22242402112 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 2242402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419478016).

2242402112 is an abundant number, since it is smaller than the sum of its proper divisors (2596553920).

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

2242402112 is a wasteful number, since it uses less digits than its factorization.

2242402112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2242402112 is about 47354.0084047803. The cubic root of 2242402112 is about 1308.8940633969.

Adding to 2242402112 its reverse (2112042422), we get a palindrome (4354444534).

The spelling of 2242402112 in words is "two billion, two hundred forty-two million, four hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 157 184 248 313 314 368 496 626 628 713 736 992 1252 1256 1426 1472 1984 2504 2512 2852 3611 4867 5008 5024 5704 7199 7222 9703 9734 10016 10048 11408 14398 14444 19406 19468 20032 22816 28796 28888 38812 38936 45632 49141 57592 57776 77624 77872 98282 111941 115184 115552 155248 155744 196564 223169 223882 230368 231104 310496 311488 393128 446338 447764 460736 620992 786256 892676 895528 1130243 1523371 1572512 1785352 1791056 2260486 3046742 3145024 3570704 3582112 4520972 6093484 7141408 7164224 9041944 12186968 14282816 18083888 24373936 35037533 36167776 48747872 70075066 72335552 97495744 140150132 280300264 560600528 1121201056 2242402112