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1225812240 = 243257512267
BaseRepresentation
bin100100100010000…
…0110100100010000
310011102120201021100
41021010012210100
510002301442430
6321345224400
742243142422
oct11104064420
93142521240
101225812240
11579a36974
122a2632100
13166c612b3
14b8b2c812
1572938960
hex49106910

1225812240 has 120 divisors (see below), whose sum is σ = 4123986048. Its totient is φ = 326304000.

The previous prime is 1225812233. The next prime is 1225812271. The reversal of 1225812240 is 422185221.

1225812240 is a `hidden beast` number, since 1 + 22 + 581 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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, 539587 + ... + 541853.

Almost surely, 21225812240 is an apocalyptic number.

1225812240 is a gapful number since it is divisible by the number (10) 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 1225812240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061993024).

1225812240 is an abundant number, since it is smaller than the sum of its proper divisors (2898173808).

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

1225812240 is a wasteful number, since it uses less digits than its factorization.

1225812240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1225812240 is about 35011.6015057866. The cubic root of 1225812240 is about 1070.2239144749.

Adding to 1225812240 its reverse (422185221), we get a palindrome (1647997461).

The spelling of 1225812240 in words is "one billion, two hundred twenty-five million, eight hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 751 1502 2253 2267 3004 3755 4506 4534 6008 6759 6801 7510 9012 9068 11265 11335 12016 13518 13602 15020 18024 18136 20403 22530 22670 27036 27204 30040 33795 34005 36048 36272 40806 45060 45340 54072 54408 60080 67590 68010 81612 90120 90680 102015 108144 108816 135180 136020 163224 180240 181360 204030 270360 272040 326448 408060 540720 544080 816120 1632240 1702517 3405034 5107551 6810068 8512585 10215102 13620136 15322653 17025170 20430204 25537755 27240272 30645306 34050340 40860408 51075510 61290612 68100680 76613265 81720816 102151020 122581224 136201360 153226530 204302040 245162448 306453060 408604080 612906120 1225812240