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2132233020 = 2232547252037
BaseRepresentation
bin111111100010111…
…0100101100111100
312111121011122211100
41333011310230330
513331322424040
6551325053100
7103560452541
oct17705645474
95447148740
102132233020
119a4654255
124b60b7190
1327c995358
1416327abc8
15c72d2b30
hex7f174b3c

2132233020 has 72 divisors (see below), whose sum is σ = 6605411904. Its totient is φ = 556495488.

The previous prime is 2132233013. The next prime is 2132233079. The reversal of 2132233020 is 203322312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2132232984 and 2132233002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117559 + ... + 134478.

It is an arithmetic number, because the mean of its divisors is an integer number (91741832).

Almost surely, 22132233020 is an apocalyptic number.

2132233020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132233020 is an abundant number, since it is smaller than the sum of its proper divisors (4473178884).

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

2132233020 is a wasteful number, since it uses less digits than its factorization.

2132233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252099 (or 252094 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2132233020 is about 46176.1087576682. The cubic root of 2132233020 is about 1287.0978204039.

Adding to 2132233020 its reverse (203322312), we get a palindrome (2335555332).

The spelling of 2132233020 in words is "two billion, one hundred thirty-two million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 252037 504074 756111 1008148 1260185 1512222 2268333 2520370 3024444 3780555 4536666 5040740 7561110 9073332 11341665 11845739 15122220 22683330 23691478 35537217 45366660 47382956 59228695 71074434 106611651 118457390 142148868 177686085 213223302 236914780 355372170 426446604 533058255 710744340 1066116510 2132233020