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1312234224 = 243729137983
BaseRepresentation
bin100111000110111…
…0001101011110000
310101110012101221120
41032031301223300
510141412443344
6334113422240
744342543520
oct11615615360
93343171846
101312234224
116137a3aa4
1230756a980
1317bb2c772
14c63c7680
157a30a219
hex4e371af0

1312234224 has 160 divisors (see below), whose sum is σ = 4041169920. Its totient is φ = 358987776.

The previous prime is 1312234223. The next prime is 1312234229. The reversal of 1312234224 is 4224322131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1312234194 and 1312234203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312234223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1334437 + ... + 1335419.

It is an arithmetic number, because the mean of its divisors is an integer number (25257312).

Almost surely, 21312234224 is an apocalyptic number.

1312234224 is a gapful number since it is divisible by the number (14) 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 1312234224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020584960).

1312234224 is an abundant number, since it is smaller than the sum of its proper divisors (2728935696).

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

1312234224 is a wasteful number, since it uses less digits than its factorization.

1312234224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1161 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 1312234224 is about 36224.7736224811. The cubic root of 1312234224 is about 1094.8058770574.

Adding to 1312234224 its reverse (4224322131), we get a palindrome (5536556355).

The spelling of 1312234224 in words is "one billion, three hundred twelve million, two hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 137 168 174 203 232 274 336 348 406 411 464 548 609 696 812 822 959 983 1096 1218 1392 1624 1644 1918 1966 2192 2436 2877 2949 3248 3288 3836 3932 3973 4872 5754 5898 6576 6881 7672 7864 7946 9744 11508 11796 11919 13762 15344 15728 15892 20643 23016 23592 23838 27524 27811 28507 31784 41286 46032 47184 47676 55048 55622 57014 63568 82572 83433 85521 95352 110096 111244 114028 134671 165144 166866 171042 190704 199549 222488 228056 269342 330288 333732 342084 399098 404013 444976 456112 538684 598647 667464 684168 798196 808026 942697 1077368 1197294 1334928 1368336 1596392 1616052 1885394 2154736 2394588 2828091 3192784 3232104 3770788 3905459 4789176 5656182 6464208 7541576 7810918 9578352 11312364 11716377 15083152 15621836 22624728 23432754 27338213 31243672 45249456 46865508 54676426 62487344 82014639 93731016 109352852 164029278 187462032 218705704 328058556 437411408 656117112 1312234224