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2132051922 = 2337111339443
BaseRepresentation
bin111111100010100…
…1000011111010010
312111120211110102000
41333011020133102
513331301130142
6551321134430
7103556066550
oct17705103722
95446743360
102132051922
119a4540190
124b602a416
1327c930ab0
14163230bd0
15c729914c
hex7f1487d2

2132051922 has 128 divisors (see below), whose sum is σ = 6361528320. Its totient is φ = 511168320.

The previous prime is 2132051903. The next prime is 2132051941. The reversal of 2132051922 is 2291502312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2132051903) and next prime (2132051941).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 34333 + ... + 73775.

It is an arithmetic number, because the mean of its divisors is an integer number (49699440).

Almost surely, 22132051922 is an apocalyptic number.

2132051922 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132051922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180764160).

2132051922 is an abundant number, since it is smaller than the sum of its proper divisors (4229476398).

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

2132051922 is a wasteful number, since it uses less digits than its factorization.

2132051922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39485 (or 39479 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2132051922 is about 46174.1477669052. The cubic root of 2132051922 is about 1287.0613801340.

The spelling of 2132051922 in words is "two billion, one hundred thirty-two million, fifty-one thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 63 66 77 78 91 99 117 126 143 154 182 189 198 231 234 273 286 297 351 378 429 462 546 594 693 702 819 858 1001 1287 1386 1638 2002 2079 2457 2574 3003 3861 4158 4914 6006 7722 9009 18018 27027 39443 54054 78886 118329 236658 276101 354987 433873 512759 552202 709974 828303 867746 1025518 1064961 1301619 1538277 1656606 2129922 2484909 2603238 3037111 3076554 3589313 3904857 4614831 4969818 5640349 6074222 7178626 7454727 7809714 9111333 9229662 10767939 11280698 11714571 13844493 14909454 16921047 18222666 21535878 23429142 27333999 27688986 32303817 33842094 39482443 50763141 54667998 64607634 78964886 82001997 96911451 101526282 118447329 152289423 164003994 193822902 236894658 304578846 355341987 710683974 1066025961 2132051922