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2132203320 = 2332513455599
BaseRepresentation
bin111111100010110…
…1101011100111000
312111121010011002100
41333011231130320
513331321001240
6551324303400
7103560300132
oct17705553470
95447104070
102132203320
119a4633a05
124b60a1b60
1327c984990
14163270052
15c72c8e30
hex7f16d738

2132203320 has 96 divisors (see below), whose sum is σ = 7462728000. Its totient is φ = 524848896.

The previous prime is 2132203277. The next prime is 2132203321. The reversal of 2132203320 is 233022312.

It is a happy number.

2132203320 is a `hidden beast` number, since 21 + 322 + 0 + 3 + 320 = 666.

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 = 2132203293 and 2132203302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132203321) by changing a digit.

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, 223120 + ... + 232479.

It is an arithmetic number, because the mean of its divisors is an integer number (77736750).

Almost surely, 22132203320 is an apocalyptic number.

2132203320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132203320 is an abundant number, since it is smaller than the sum of its proper divisors (5330524680).

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

2132203320 is a wasteful number, since it uses less digits than its factorization.

2132203320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455629 (or 455622 counting only the distinct ones).

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

The square root of 2132203320 is about 46175.7871616716. The cubic root of 2132203320 is about 1287.0918443556.

Adding to 2132203320 its reverse (233022312), we get a palindrome (2365225632).

The spelling of 2132203320 in words is "two billion, one hundred thirty-two million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 455599 911198 1366797 1822396 2277995 2733594 3644792 4100391 4555990 5467188 5922787 6833985 8200782 9111980 10934376 11845574 13667970 16401564 17768361 18223960 20501955 23691148 27335940 29613935 32803128 35536722 41003910 47382296 53305083 54671880 59227870 71073444 82007820 88841805 106610166 118455740 142146888 164015640 177683610 213220332 236911480 266525415 355367220 426440664 533050830 710734440 1066101660 2132203320