Search a number
-
+
2253307392 = 2932769857
BaseRepresentation
bin1000011001001110…
…1011111000000000
312211000222212122100
42012103223320000
514103321314032
61011332110400
7106560540210
oct20623537000
95730885570
102253307392
11a56a2a216
1252a765400
1329baa72ab
14175396240
15d2c4b97c
hex864ebe00

2253307392 has 120 divisors (see below), whose sum is σ = 7432332336. Its totient is φ = 643792896.

The previous prime is 2253307379. The next prime is 2253307393. The reversal of 2253307392 is 2937033522.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253307393) 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 11 ways as a sum of consecutive naturals, for example, 2673 + ... + 67184.

Almost surely, 22253307392 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 2253307392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716166168).

2253307392 is an abundant number, since it is smaller than the sum of its proper divisors (5179024944).

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

2253307392 is an equidigital number, since it uses as much as digits as its factorization.

2253307392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69888 (or 69869 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 2253307392 is about 47469.0150729926. The cubic root of 2253307392 is about 1311.0124434373.

The spelling of 2253307392 in words is "two billion, two hundred fifty-three million, three hundred seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 8064 10752 16128 32256 69857 139714 209571 279428 419142 488999 558856 628713 838284 977998 1117712 1257426 1466997 1676568 1955996 2235424 2514852 2933994 3353136 3911992 4400991 4470848 5029704 5867988 6706272 7823984 8801982 8941696 10059408 11735976 13412544 15647968 17603964 17883392 20118816 23471952 26825088 31295936 35207928 35766784 40237632 46943904 53650176 62591872 70415856 80475264 93887808 107300352 125183744 140831712 160950528 187775616 250367488 281663424 321901056 375551232 563326848 751102464 1126653696 2253307392