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2132234928 = 24341796779
BaseRepresentation
bin111111100010111…
…0101001010110000
312111121011202110000
41333011311022300
513331323004203
6551325110000
7103560461235
oct17705651260
95447152400
102132234928
119a465572a
124b60b8300
1327c996195
1416327b78c
15c72d34a3
hex7f1752b0

2132234928 has 100 divisors (see below), whose sum is σ = 6534392040. Its totient is φ = 668929536.

The previous prime is 2132234887. The next prime is 2132234953. The reversal of 2132234928 is 8294322312.

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

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 = 2132234892 and 2132234901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26358 + ... + 70421.

Almost surely, 22132234928 is an apocalyptic number.

It is an amenable number.

2132234928 is an abundant number, since it is smaller than the sum of its proper divisors (4402157112).

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

2132234928 is a wasteful number, since it uses less digits than its factorization.

2132234928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96816 (or 96801 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2132234928 is about 46176.1294176981. The cubic root of 2132234928 is about 1287.0982043178.

The spelling of 2132234928 in words is "two billion, one hundred thirty-two million, two hundred thirty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2448 2754 3672 5508 7344 11016 22032 96779 193558 290337 387116 580674 774232 871011 1161348 1548464 1645243 1742022 2322696 2613033 3290486 3484044 4645392 4935729 5226066 6580972 6968088 7839099 9871458 10452132 13161944 13936176 14807187 15678198 19742916 20904264 26323888 29614374 31356396 39485832 41808528 44421561 59228748 62712792 78971664 88843122 118457496 125425584 133264683 177686244 236914992 266529366 355372488 533058732 710744976 1066117464 2132234928