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2225134240 = 255713914293
BaseRepresentation
bin1000010010100000…
…1101101010100000
312202001222112100021
42010220031222200
514024113243430
61004444203224
7106066220560
oct20450155240
95661875307
102225134240
11a4203731a
12521239514
13295cc19a4
14171740da0
15d053407a
hex84a0daa0

2225134240 has 96 divisors (see below), whose sum is σ = 6051507840. Its totient is φ = 757361664.

The previous prime is 2225134237. The next prime is 2225134279. The reversal of 2225134240 is 424315222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148534 + ... + 162826.

It is an arithmetic number, because the mean of its divisors is an integer number (63036540).

Almost surely, 22225134240 is an apocalyptic number.

2225134240 is a gapful number since it is divisible by the number (20) 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 2225134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025753920).

2225134240 is an abundant number, since it is smaller than the sum of its proper divisors (3826373600).

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

2225134240 is a wasteful number, since it uses less digits than its factorization.

2225134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14454 (or 14446 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2225134240 is about 47171.3285799754. The cubic root of 2225134240 is about 1305.5256397981.

Adding to 2225134240 its reverse (424315222), we get a palindrome (2649449462).

The spelling of 2225134240 in words is "two billion, two hundred twenty-five million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 139 140 160 224 278 280 556 560 695 973 1112 1120 1390 1946 2224 2780 3892 4448 4865 5560 7784 9730 11120 14293 15568 19460 22240 28586 31136 38920 57172 71465 77840 100051 114344 142930 155680 200102 228688 285860 400204 457376 500255 571720 800408 1000510 1143440 1600816 1986727 2001020 2286880 3201632 3973454 4002040 7946908 8004080 9933635 13907089 15893816 16008160 19867270 27814178 31787632 39734540 55628356 63575264 69535445 79469080 111256712 139070890 158938160 222513424 278141780 317876320 445026848 556283560 1112567120 2225134240