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2253512304 = 2432671311783
BaseRepresentation
bin1000011001010001…
…1101111001110000
312211001101021201200
42012110131321300
514103344343204
61011340331200
7106562352501
oct20624357160
95731337650
102253512304
11a5705a16a
1252a843b00
1329bb49644
1417540aba8
15d2c8c539
hex8651de70

2253512304 has 120 divisors (see below), whose sum is σ = 6453313152. Its totient is φ = 733898880.

The previous prime is 2253512291. The next prime is 2253512311. The reversal of 2253512304 is 4032153522.

It is a happy number.

2253512304 is a `hidden beast` number, since 2 + 2 + 5 + 351 + 2 + 304 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1262997 + ... + 1264779.

Almost surely, 22253512304 is an apocalyptic number.

2253512304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253512304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226656576).

2253512304 is an abundant number, since it is smaller than the sum of its proper divisors (4199800848).

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

2253512304 is a wasteful number, since it uses less digits than its factorization.

2253512304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2253512304 is about 47471.1734002858. The cubic root of 2253512304 is about 1311.0521826580.

Adding to 2253512304 its reverse (4032153522), we get a palindrome (6285665826).

The spelling of 2253512304 in words is "two billion, two hundred fifty-three million, five hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 131 134 144 201 262 268 393 402 524 536 603 786 804 1048 1072 1179 1206 1572 1608 1783 2096 2358 2412 3144 3216 3566 4716 4824 5349 6288 7132 8777 9432 9648 10698 14264 16047 17554 18864 21396 26331 28528 32094 35108 42792 52662 64188 70216 78993 85584 105324 119461 128376 140432 157986 210648 233573 238922 256752 315972 358383 421296 467146 477844 631944 700719 716766 934292 955688 1075149 1263888 1401438 1433532 1868584 1911376 2102157 2150298 2802876 2867064 3737168 4204314 4300596 5605752 5734128 8408628 8601192 11211504 15649391 16817256 17202384 31298782 33634512 46948173 62597564 93896346 125195128 140844519 187792692 250390256 281689038 375585384 563378076 751170768 1126756152 2253512304