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2084132232 = 2332713312331
BaseRepresentation
bin111110000111001…
…0101010110001000
312101020122212221200
41330032111112020
513232014212412
6542450104200
7102434555160
oct17416252610
95336585850
102084132232
1197a490436
124a1b7b060
13272a23550
1415ab195a0
15c2e809dc
hex7c395588

2084132232 has 288 divisors, whose sum is σ = 7200123840. Its totient is φ = 530323200.

The previous prime is 2084132227. The next prime is 2084132243. The reversal of 2084132232 is 2322314802.

2084132232 is a `hidden beast` number, since 20 + 8 + 413 + 223 + 2 = 666.

It is a super-2 number, since 2×20841322322 = 8687214320922603648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2084132196 and 2084132205.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6296307 + ... + 6296637.

It is an arithmetic number, because the mean of its divisors is an integer number (25000430).

Almost surely, 22084132232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2084132232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600061920).

2084132232 is an abundant number, since it is smaller than the sum of its proper divisors (5115991608).

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

2084132232 is a wasteful number, since it uses less digits than its factorization.

2084132232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2084132232 is about 45652.2971163555. The cubic root of 2084132232 is about 1277.3456207483.

The spelling of 2084132232 in words is "two billion, eighty-four million, one hundred thirty-two thousand, two hundred thirty-two".