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2322930688 = 21013231433
BaseRepresentation
bin1000101001110101…
…0001110000000000
312222220000002211221
42022131101300000
514224132240223
61022300244424
7111364404451
oct21235216000
95886002757
102322930688
11a92263231
12549b40714
132b0343500
1418071b128
15d8e00b5d
hex8a751c00

2322930688 has 132 divisors (see below), whose sum is σ = 5202458688. Its totient is φ = 1035141120.

The previous prime is 2322930667. The next prime is 2322930689. The reversal of 2322930688 is 8860392232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2322930689) 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, 5364520 + ... + 5364952.

Almost surely, 22322930688 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 2322930688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601229344).

2322930688 is an abundant number, since it is smaller than the sum of its proper divisors (2879528000).

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

2322930688 is a wasteful number, since it uses less digits than its factorization.

2322930688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 2322930688 is about 48196.7912624897. The cubic root of 2322930688 is about 1324.3783841985.

The spelling of 2322930688 in words is "two billion, three hundred twenty-two million, nine hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 169 208 248 256 338 403 416 433 496 512 676 806 832 866 992 1024 1352 1612 1664 1732 1984 2704 3224 3328 3464 3968 5239 5408 5629 6448 6656 6928 7936 10478 10816 11258 12896 13312 13423 13856 15872 20956 21632 22516 25792 26846 27712 31744 41912 43264 45032 51584 53692 55424 73177 83824 86528 90064 103168 107384 110848 146354 167648 173056 174499 180128 206336 214768 221696 292708 335296 348998 360256 412672 429536 443392 585416 670592 697996 720512 859072 1170832 1341184 1395992 1441024 1718144 2268487 2341664 2682368 2791984 2882048 3436288 4536974 4683328 5364736 5583968 5764096 6872576 9073948 9366656 11167936 13745152 18147896 18733312 22335872 36295792 37466624 44671744 72591584 74933248 89343488 145183168 178686976 290366336 580732672 1161465344 2322930688