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12229135740 = 2232567939643
BaseRepresentation
bin10110110001110100…
…11100110101111100
31011120021021110111100
423120322130311330
5200021124320430
65341252453100
7612022636653
oct133072346574
934507243440
1012229135740
115206034758
12245361a190
1311cb7805c3
1484022619a
154b8932960
hex2d8e9cd7c

12229135740 has 36 divisors (see below), whose sum is σ = 37095045624. Its totient is φ = 3261102816.

The previous prime is 12229135739. The next prime is 12229135741. The reversal of 12229135740 is 4753192221.

12229135740 is a `hidden beast` number, since 12 + 2 + 291 + 357 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12229135739) and next prime (12229135741).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12229135695 and 12229135704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12229135741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33969642 + ... + 33970001.

It is an arithmetic number, because the mean of its divisors is an integer number (1030417934).

Almost surely, 212229135740 is an apocalyptic number.

12229135740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12229135740 is an abundant number, since it is smaller than the sum of its proper divisors (24865909884).

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

12229135740 is a wasteful number, since it uses less digits than its factorization.

12229135740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67939658 (or 67939653 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12229135740 in words is "twelve billion, two hundred twenty-nine million, one hundred thirty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 67939643 135879286 203818929 271758572 339698215 407637858 611456787 679396430 815275716 1019094645 1222913574 1358792860 2038189290 2445827148 3057283935 4076378580 6114567870 12229135740