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1225817112 = 2331319320357
BaseRepresentation
bin100100100010000…
…0111110000011000
310011102120221221210
41021010013300120
510002302121422
6321345303120
742243162552
oct11104076030
93142527853
101225817112
11579a3a5a3
122a2634aa0
13166c63590
14b8b304d2
157293a10c
hex49107c18

1225817112 has 64 divisors (see below), whose sum is σ = 3317539680. Its totient is φ = 375201792.

The previous prime is 1225817101. The next prime is 1225817171. The reversal of 1225817112 is 2117185221.

It is a self number, because there is not a number n which added to its sum of digits gives 1225817112.

It is a congruent number.

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, 50038 + ... + 70394.

Almost surely, 21225817112 is an apocalyptic number.

1225817112 is a gapful number since it is divisible by the number (12) 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 1225817112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658769840).

1225817112 is an abundant number, since it is smaller than the sum of its proper divisors (2091722568).

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

1225817112 is a wasteful number, since it uses less digits than its factorization.

1225817112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20572 (or 20568 counting only the distinct ones).

The product of its digits is 2240, while the sum is 30.

The square root of 1225817112 is about 35011.6710826547. The cubic root of 1225817112 is about 1070.2253323440.

The spelling of 1225817112 in words is "one billion, two hundred twenty-five million, eight hundred seventeen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 193 312 386 579 772 1158 1544 2316 2509 4632 5018 7527 10036 15054 20072 20357 30108 40714 60216 61071 81428 122142 162856 244284 264641 488568 529282 793923 1058564 1587846 2117128 3175692 3928901 6351384 7857802 11786703 15715604 23573406 31431208 47146812 51075713 94293624 102151426 153227139 204302852 306454278 408605704 612908556 1225817112