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2423322132 = 2237112938951
BaseRepresentation
bin1001000001110000…
…1111011000010100
320020212220112000120
42100130033120110
514430332302012
61040244111540
7114023620050
oct22034173024
96225815016
102423322132
1110339a1870
125776955b0
132c809322a
1418dbb0c60
15e2b3158c
hex9070f614

2423322132 has 96 divisors (see below), whose sum is σ = 7074514944. Its totient is φ = 627216000.

The previous prime is 2423322107. The next prime is 2423322169. The reversal of 2423322132 is 2312233242.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266257 + ... + 275207.

It is an arithmetic number, because the mean of its divisors is an integer number (73692864).

Almost surely, 22423322132 is an apocalyptic number.

2423322132 is a gapful number since it is divisible by the number (22) 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 2423322132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537257472).

2423322132 is an abundant number, since it is smaller than the sum of its proper divisors (4651192812).

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

2423322132 is a wasteful number, since it uses less digits than its factorization.

2423322132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9269 (or 9267 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 2423322132 is about 49227.2498927169. The cubic root of 2423322132 is about 1343.1887620477.

Adding to 2423322132 its reverse (2312233242), we get a palindrome (4735555374).

The spelling of 2423322132 in words is "two billion, four hundred twenty-three million, three hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 293 308 462 586 879 924 1172 1758 2051 3223 3516 4102 6153 6446 8204 8951 9669 12306 12892 17902 19338 22561 24612 26853 35804 38676 45122 53706 62657 67683 90244 98461 107412 125314 135366 187971 196922 250628 270732 295383 375942 393844 590766 689227 751884 1181532 1378454 2067681 2622643 2756908 4135362 5245286 7867929 8270724 10490572 15735858 18358501 28849073 31471716 36717002 55075503 57698146 73434004 86547219 110151006 115396292 173094438 201943511 220302012 346188876 403887022 605830533 807774044 1211661066 2423322132