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2231429600 = 25523189977
BaseRepresentation
bin1000010100000000…
…1110100111100000
312202111211100221202
42011000032213200
514032221221400
61005231140332
7106203560441
oct20500164740
95674740852
102231429600
11a456470a4
125233746a8
132973b725a
141724dd2c8
15d0d794d5
hex8500e9e0

2231429600 has 72 divisors (see below), whose sum is σ = 5623265088. Its totient is φ = 863769600.

The previous prime is 2231429591. The next prime is 2231429609. The reversal of 2231429600 is 69241322.

It is an interprime number because it is at equal distance from previous prime (2231429591) and next prime (2231429609).

It is a super-3 number, since 3×22314296003 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231429609) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20189 + ... + 69788.

It is an arithmetic number, because the mean of its divisors is an integer number (78100904).

Almost surely, 22231429600 is an apocalyptic number.

2231429600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231429600 is an abundant number, since it is smaller than the sum of its proper divisors (3391835488).

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

2231429600 is a wasteful number, since it uses less digits than its factorization.

2231429600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90028 (or 90015 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 2231429600 is about 47238.0101189709. The cubic root of 2231429600 is about 1306.7556802241.

The spelling of 2231429600 in words is "two billion, two hundred thirty-one million, four hundred twenty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 248 310 400 496 620 775 800 992 1240 1550 2480 3100 4960 6200 12400 24800 89977 179954 359908 449885 719816 899770 1439632 1799540 2249425 2789287 2879264 3599080 4498850 5578574 7198160 8997700 11157148 13946435 14396320 17995400 22314296 27892870 35990800 44628592 55785740 69732175 71981600 89257184 111571480 139464350 223142960 278928700 446285920 557857400 1115714800 2231429600