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2243261625 = 353114312647
BaseRepresentation
bin1000010110110101…
…0111010010111001
312210100002111102220
42011231113102321
514043233333000
61010332514253
7106406260233
oct20555272271
95710074386
102243261625
11a51298730
1252731b989
1329999a957
14173cdd253
15d1e151a0
hex85b574b9

2243261625 has 64 divisors (see below), whose sum is σ = 4167161856. Its totient is φ = 1062264000.

The previous prime is 2243261591. The next prime is 2243261627. The reversal of 2243261625 is 5261623422.

It is a happy number.

It is not a de Polignac number, because 2243261625 - 26 = 2243261561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2243261627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171052 + ... + 183698.

It is an arithmetic number, because the mean of its divisors is an integer number (65111904).

Almost surely, 22243261625 is an apocalyptic number.

2243261625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2243261625 is a deficient number, since it is larger than the sum of its proper divisors (1923900231).

2243261625 is a wasteful number, since it uses less digits than its factorization.

2243261625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12719 (or 12709 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 2243261625 is about 47363.0829338632. The cubic root of 2243261625 is about 1309.0612751188.

The spelling of 2243261625 in words is "two billion, two hundred forty-three million, two hundred sixty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 43 55 75 125 129 165 215 275 375 473 645 825 1075 1375 1419 2365 3225 4125 5375 7095 11825 12647 16125 35475 37941 59125 63235 139117 177375 189705 316175 417351 543821 695585 948525 1580875 1631463 2086755 2719105 3477925 4742625 5982031 8157315 10433775 13595525 17389625 17946093 29910155 40786575 52168875 67977625 89730465 149550775 203932875 448652325 747753875 2243261625