Search a number
-
+
2051233296 = 24373314019
BaseRepresentation
bin111101001000011…
…0101011000010000
312021221202110002120
41322100311120100
513200103431141
6535313014240
7101555124000
oct17220653020
95257673076
102051233296
1196295aa32
12492b54380
13268c74c18
141565d4000
15c0132c66
hex7a435610

2051233296 has 160 divisors (see below), whose sum is σ = 6380544000. Its totient is φ = 567020160.

The previous prime is 2051233271. The next prime is 2051233297. The reversal of 2051233296 is 6923321502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051233297) 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 31 ways as a sum of consecutive naturals, for example, 508375 + ... + 512393.

It is an arithmetic number, because the mean of its divisors is an integer number (39878400).

Almost surely, 22051233296 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 2051233296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3190272000).

2051233296 is an abundant number, since it is smaller than the sum of its proper divisors (4329310704).

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

2051233296 is a wasteful number, since it uses less digits than its factorization.

2051233296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 2051233296 is about 45290.5431188455. The cubic root of 2051233296 is about 1270.5887893385.

Adding to 2051233296 its reverse (6923321502), we get a palindrome (8974554798).

The spelling of 2051233296 in words is "two billion, fifty-one million, two hundred thirty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 294 336 343 372 392 434 496 588 651 686 744 784 868 1029 1176 1302 1372 1488 1519 1736 2058 2352 2604 2744 3038 3472 4019 4116 4557 5208 5488 6076 8038 8232 9114 10416 10633 12057 12152 16076 16464 18228 21266 24114 24304 28133 31899 32152 36456 42532 48228 56266 63798 64304 72912 84399 85064 96456 112532 124589 127596 168798 170128 192912 196931 225064 249178 255192 337596 373767 393862 450128 498356 510384 590793 675192 747534 787724 872123 996712 1181586 1350384 1378517 1495068 1575448 1744246 1993424 2363172 2616369 2757034 2990136 3150896 3488492 4135551 4726344 5232738 5514068 5980272 6104861 6976984 8271102 9452688 10465476 11028136 12209722 13953968 16542204 18314583 20930952 22056272 24419444 33084408 36629166 41861904 42734027 48838888 66168816 73258332 85468054 97677776 128202081 146516664 170936108 256404162 293033328 341872216 512808324 683744432 1025616648 2051233296