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2132342874 = 2333183103149
BaseRepresentation
bin111111100011000…
…1111100001011010
312111121101020112000
41333012033201122
513331334432444
6551331301430
7103561421034
oct17706174132
95447336460
102132342874
119a4719842
124b614a876
1327ca0335c
141632a8c54
15c7305469
hex7f18f85a

2132342874 has 128 divisors (see below), whose sum is σ = 5031936000. Its totient is φ = 668450880.

The previous prime is 2132342851. The next prime is 2132342881. The reversal of 2132342874 is 4782432312.

It is a happy number.

It is a super-2 number, since 2×21323428742 = 9093772264597159752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14310952 + ... + 14311100.

It is an arithmetic number, because the mean of its divisors is an integer number (39312000).

Almost surely, 22132342874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132342874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515968000).

2132342874 is an abundant number, since it is smaller than the sum of its proper divisors (2899593126).

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

2132342874 is a wasteful number, since it uses less digits than its factorization.

2132342874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 2132342874 is about 46177.2982535791. The cubic root of 2132342874 is about 1287.1199240568.

The spelling of 2132342874 in words is "two billion, one hundred thirty-two million, three hundred forty-two thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 83 93 103 149 166 186 206 249 279 298 309 447 498 558 618 747 837 894 927 1341 1494 1674 1854 2241 2573 2682 2781 3193 4023 4482 4619 5146 5562 6386 7719 8046 8549 9238 9579 12367 13857 15347 15438 17098 19158 23157 24734 25647 27714 28737 30694 37101 41571 46041 46314 51294 57474 69471 74202 76941 83142 86211 92082 111303 124713 138123 138942 153882 172422 222606 230823 249426 265019 276246 333909 383377 414369 461646 475757 530038 667818 766754 795057 828738 951514 1150131 1273801 1427271 1590114 2300262 2385171 2547602 2854542 3450393 3821403 4281813 4770342 6900786 7155513 7642806 8563626 10351179 11464209 12845439 14311026 20702358 22928418 25690878 34392627 39487831 68785254 78975662 118463493 236926986 355390479 710780958 1066171437 2132342874