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2320771232 = 251343137947
BaseRepresentation
bin1000101001010100…
…0010100010100000
312222201221101122002
42022111002202200
514223104134412
61022142103132
7111340141613
oct21225024240
95881841562
102320771232
11a9101885a
1254927aaa8
132aca68620
1418031817a
15d8b25dc2
hex8a5428a0

2320771232 has 96 divisors (see below), whose sum is σ = 5077017792. Its totient is φ = 1037481984.

The previous prime is 2320771223. The next prime is 2320771237. The reversal of 2320771232 is 2321770232.

It is a happy number.

It is a super-2 number, since 2×23207712322 = 10771958222557595648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2320771195 and 2320771204.

It is not an unprimeable number, because it can be changed into a prime (2320771237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2450183 + ... + 2451129.

It is an arithmetic number, because the mean of its divisors is an integer number (52885602).

Almost surely, 22320771232 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 2320771232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538508896).

2320771232 is an abundant number, since it is smaller than the sum of its proper divisors (2756246560).

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

2320771232 is a wasteful number, since it uses less digits than its factorization.

2320771232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 2320771232 is about 48174.3835663727. The cubic root of 2320771232 is about 1323.9678649144.

The spelling of 2320771232 in words is "two billion, three hundred twenty million, seven hundred seventy-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 43 52 86 104 137 172 208 274 344 416 548 559 688 947 1096 1118 1376 1781 1894 2192 2236 3562 3788 4384 4472 5891 7124 7576 8944 11782 12311 14248 15152 17888 23564 24622 28496 30304 40721 47128 49244 56992 76583 81442 94256 98488 129739 153166 162884 188512 196976 259478 306332 325768 393952 518956 529373 612664 651536 1037912 1058746 1225328 1303072 1686607 2075824 2117492 2450656 3373214 4151648 4234984 5578777 6746428 8469968 11157554 13492856 16939936 22315108 26985712 44630216 53971424 72524101 89260432 145048202 178520864 290096404 580192808 1160385616 2320771232