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2249232975 = 335211302927
BaseRepresentation
bin1000011000010000…
…1001001001001111
312210202022212121000
42012010021021033
514101300423400
61011104511343
7106511110353
oct20604111117
95722285530
102249232975
11a546a7030
1252931b553
1329acab8b2
14174a15463
15d26e4600
hex8610924f

2249232975 has 48 divisors (see below), whose sum is σ = 4507568640. Its totient is φ = 1090533600.

The previous prime is 2249232971. The next prime is 2249233013. The reversal of 2249232975 is 5792329422.

It is not a de Polignac number, because 2249232975 - 22 = 2249232971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2249232975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249232971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144039 + ... + 158888.

It is an arithmetic number, because the mean of its divisors is an integer number (93907680).

Almost surely, 22249232975 is an apocalyptic number.

2249232975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2249232975 is an abundant number, since it is smaller than the sum of its proper divisors (2258335665).

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

2249232975 is a wasteful number, since it uses less digits than its factorization.

2249232975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302957 (or 302946 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 2249232975 is about 47426.0790599434. The cubic root of 2249232975 is about 1310.2217783908.

The spelling of 2249232975 in words is "two billion, two hundred forty-nine million, two hundred thirty-two thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 2475 7425 302927 908781 1514635 2726343 3332197 4543905 7573175 8179029 9996591 13631715 16660985 22719525 29989773 40895145 49982955 68158575 83304925 89969319 149948865 204475725 249914775 449846595 749744325 2249232975