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2303213312 = 28171373863
BaseRepresentation
bin1000100101001000…
…0011111100000000
312221111220100200202
42021102003330000
514204110311222
61020313504332
7111034663421
oct21122037400
95844810622
102303213312
11a82116284
125434120a8
132a922b91a
1417bc67648
15d7308892
hex89483f00

2303213312 has 72 divisors (see below), whose sum is σ = 4904667936. Its totient is φ = 1075675136.

The previous prime is 2303213281. The next prime is 2303213323. The reversal of 2303213312 is 2133123032.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 594293 + ... + 598155.

It is an arithmetic number, because the mean of its divisors is an integer number (68120388).

Almost surely, 22303213312 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 2303213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452333968).

2303213312 is an abundant number, since it is smaller than the sum of its proper divisors (2601454624).

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

2303213312 is a wasteful number, since it uses less digits than its factorization.

2303213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 2303213312 is about 47991.8046337080. The cubic root of 2303213312 is about 1320.6205591502.

Adding to 2303213312 its reverse (2133123032), we get a palindrome (4436336344).

The spelling of 2303213312 in words is "two billion, three hundred three million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 137 256 272 274 544 548 1088 1096 2176 2192 2329 3863 4352 4384 4658 7726 8768 9316 15452 17536 18632 30904 35072 37264 61808 65671 74528 123616 131342 149056 247232 262684 298112 494464 525368 529231 596224 988928 1050736 1058462 2101472 2116924 4202944 4233848 8405888 8467696 8996927 16811776 16935392 17993854 33870784 35987708 67741568 71975416 135483136 143950832 287901664 575803328 1151606656 2303213312