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1225036212 = 2232329413733
BaseRepresentation
bin100100100000100…
…1001000110110100
310011101010021202120
41021001021012310
510002102124322
6321320435540
742233431101
oct11101110664
93141107676
101225036212
11579556924
122a2318bb0
13166a4bcca
14b89a9aa8
1572833a5c
hex490491b4

1225036212 has 96 divisors (see below), whose sum is σ = 3161652480. Its totient is φ = 367825920.

The previous prime is 1225036199. The next prime is 1225036213. The reversal of 1225036212 is 2126305221.

It is a super-2 number, since 2×12250362122 = 3001427441422617888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225036213) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 326298 + ... + 330030.

It is an arithmetic number, because the mean of its divisors is an integer number (32933880).

Almost surely, 21225036212 is an apocalyptic number.

1225036212 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 1225036212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580826240).

1225036212 is an abundant number, since it is smaller than the sum of its proper divisors (1936616268).

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

1225036212 is a wasteful number, since it uses less digits than its factorization.

1225036212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1225036212 is about 35000.5173104627. The cubic root of 1225036212 is about 1069.9980236957.

The spelling of 1225036212 in words is "one billion, two hundred twenty-five million, thirty-six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 29 41 46 58 69 82 87 92 116 123 138 164 174 246 276 348 492 667 943 1189 1334 1886 2001 2378 2668 2829 3567 3733 3772 4002 4756 5658 7134 7466 8004 11199 11316 14268 14932 22398 27347 44796 54694 82041 85859 108257 109388 153053 164082 171718 216514 257577 306106 324771 328164 343436 433028 459159 515154 612212 649542 918318 1030308 1299084 1836636 2489911 3520219 4438537 4979822 7040438 7469733 8877074 9959644 10560657 13315611 14080876 14939466 17754148 21121314 26631222 29878932 42242628 53262444 102086351 204172702 306259053 408345404 612518106 1225036212