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1225131222 = 237231229587
BaseRepresentation
bin100100100000110…
…0000010011010110
310011101022010002110
41021001200103112
510002113144342
6321322451450
742234305100
oct11101402326
93141263073
101225131222
11579611247
122a2363b86
13166a83323
14b89d2570
1572851c9c
hex490604d6

1225131222 has 96 divisors (see below), whose sum is σ = 2960133120. Its totient is φ = 336692160.

The previous prime is 1225131221. The next prime is 1225131223. The reversal of 1225131222 is 2221315221.

It is an interprime number because it is at equal distance from previous prime (1225131221) and next prime (1225131223).

It is a super-2 number, since 2×12251312222 = 3001893022238426568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225131221) 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 47 ways as a sum of consecutive naturals, for example, 2086813 + ... + 2087399.

It is an arithmetic number, because the mean of its divisors is an integer number (30834720).

Almost surely, 21225131222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225131222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480066560).

1225131222 is an abundant number, since it is smaller than the sum of its proper divisors (1735001898).

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

1225131222 is a wasteful number, since it uses less digits than its factorization.

1225131222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 859 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 1225131222 is about 35001.8745498009. The cubic root of 1225131222 is about 1070.0256848873.

Adding to 1225131222 its reverse (2221315221), we get a palindrome (3446446443).

The spelling of 1225131222 in words is "one billion, two hundred twenty-five million, one hundred thirty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 229 294 434 458 587 651 687 1174 1302 1374 1519 1603 1761 3038 3206 3522 4109 4557 4809 7099 8218 9114 9618 11221 12327 14198 18197 21297 22442 24654 28763 33663 36394 42594 49693 54591 57526 67326 86289 99386 109182 127379 134423 149079 172578 254758 268846 298158 347851 382137 403269 695702 764274 806538 891653 940961 1043553 1783306 1881922 2087106 2674959 2822883 4167113 5349918 5645766 6586727 8334226 12501339 13173454 19760181 25002678 29169791 39520362 58339582 87509373 175018746 204188537 408377074 612565611 1225131222