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2243462304 = 25367569613
BaseRepresentation
bin1000010110111000…
…1000010010100000
312210100110200201110
42011232020102200
514043311243204
61010341103320
7106411054266
oct20556102240
95710420643
102243462304
11a51415486
125273b7b40
13299a3b0b5
14173d52436
15d1e54889
hex85b884a0

2243462304 has 96 divisors (see below), whose sum is σ = 5997257280. Its totient is φ = 734164992.

The previous prime is 2243462293. The next prime is 2243462321. The reversal of 2243462304 is 4032643422.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 3659502 + ... + 3660114.

It is an arithmetic number, because the mean of its divisors is an integer number (62471430).

Almost surely, 22243462304 is an apocalyptic number.

2243462304 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 2243462304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998628640).

2243462304 is an abundant number, since it is smaller than the sum of its proper divisors (3753794976).

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

2243462304 is a wasteful number, since it uses less digits than its factorization.

2243462304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 2243462304 is about 47365.2014035621. The cubic root of 2243462304 is about 1309.1003095425.

The spelling of 2243462304 in words is "two billion, two hundred forty-three million, four hundred sixty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 569 613 804 1072 1138 1226 1608 1707 1839 2144 2276 2452 3216 3414 3678 4552 4904 6432 6828 7356 9104 9808 13656 14712 18208 19616 27312 29424 38123 41071 54624 58848 76246 82142 114369 123213 152492 164284 228738 246426 304984 328568 348797 457476 492852 609968 657136 697594 914952 985704 1046391 1219936 1314272 1395188 1829904 1971408 2092782 2790376 3659808 3942816 4185564 5580752 8371128 11161504 16742256 23369399 33484512 46738798 70108197 93477596 140216394 186955192 280432788 373910384 560865576 747820768 1121731152 2243462304