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1225014132 = 2231923792957
BaseRepresentation
bin100100100000100…
…0011101101110100
310011101002011110210
41021001003231310
510002100423012
6321320145420
742233306526
oct11101035564
93141064423
101225014132
11579541281
122a2308270
13166a41c44
14b89a1a16
157282c23c
hex49043b74

1225014132 has 96 divisors (see below), whose sum is σ = 3180441600. Its totient is φ = 365219712.

The previous prime is 1225014127. The next prime is 1225014149. The reversal of 1225014132 is 2314105221.

It is a junction number, because it is equal to n+sod(n) for n = 1225014099 and 1225014108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412798 + ... + 415754.

It is an arithmetic number, because the mean of its divisors is an integer number (33129600).

Almost surely, 21225014132 is an apocalyptic number.

1225014132 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 1225014132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590220800).

1225014132 is an abundant number, since it is smaller than the sum of its proper divisors (1955427468).

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

1225014132 is a wasteful number, since it uses less digits than its factorization.

1225014132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085 (or 3083 counting only the distinct ones).

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

The square root of 1225014132 is about 35000.2018851320. The cubic root of 1225014132 is about 1069.9915951242.

Adding to 1225014132 its reverse (2314105221), we get a palindrome (3539119353).

The spelling of 1225014132 in words is "one billion, two hundred twenty-five million, fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 79 92 114 138 158 228 237 276 316 437 474 874 948 1311 1501 1748 1817 2622 2957 3002 3634 4503 5244 5451 5914 6004 7268 8871 9006 10902 11828 17742 18012 21804 34523 35484 56183 68011 69046 103569 112366 136022 138092 168549 204033 207138 224732 233603 272044 337098 408066 414276 467206 674196 700809 816132 934412 1292209 1401618 2584418 2803236 3876627 4438457 5168836 5372869 7753254 8876914 10745738 13315371 15506508 16118607 17753828 21491476 26630742 32237214 53261484 64474428 102084511 204169022 306253533 408338044 612507066 1225014132