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2322313312 = 251122389293
BaseRepresentation
bin1000101001101011…
…1011000001100000
312222211211201222011
42022122323001200
514224003011222
61022235122304
7111356223514
oct21232730140
95884751864
102322313312
11a91981400
125498a3394
132b01884b7
141805da144
15d8d2cc77
hex8a6bb060

2322313312 has 144 divisors (see below), whose sum is σ = 5321000160. Its totient is φ = 994949120.

The previous prime is 2322313307. The next prime is 2322313313. The reversal of 2322313312 is 2133132232.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2322313313) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7925838 + ... + 7926130.

It is an arithmetic number, because the mean of its divisors is an integer number (36951390).

Almost surely, 22322313312 is an apocalyptic number.

2322313312 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 2322313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660500080).

2322313312 is an abundant number, since it is smaller than the sum of its proper divisors (2998686848).

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

2322313312 is a wasteful number, since it uses less digits than its factorization.

2322313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 418 counting only the distinct ones).

The product of its digits is 1296, while the sum is 22.

The square root of 2322313312 is about 48190.3860951539. The cubic root of 2322313312 is about 1324.2610450860.

Adding to 2322313312 its reverse (2133132232), we get a palindrome (4455445544).

The spelling of 2322313312 in words is "two billion, three hundred twenty-two million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 89 92 121 176 178 184 242 253 293 352 356 368 484 506 586 712 736 968 979 1012 1172 1424 1936 1958 2024 2047 2344 2783 2848 3223 3872 3916 4048 4094 4688 5566 6446 6739 7832 8096 8188 9376 10769 11132 12892 13478 15664 16376 21538 22264 22517 25784 26077 26956 31328 32752 35453 43076 44528 45034 51568 52154 53912 65504 70906 74129 86152 89056 90068 103136 104308 107824 141812 148258 172304 180136 208616 215648 247687 283624 286847 296516 344608 360272 417232 495374 567248 573694 593032 599771 720544 815419 834464 990748 1134496 1147388 1186064 1199542 1630838 1981496 2294776 2372128 2399084 3155317 3261676 3962992 4589552 4798168 6310634 6523352 6597481 7925984 9179104 9596336 12621268 13046704 13194962 19192672 25242536 26093408 26389924 50485072 52779848 72572291 100970144 105559696 145144582 211119392 290289164 580578328 1161156656 2322313312