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2033132220 = 2232571613597
BaseRepresentation
bin111100100101111…
…0010001010111100
312020200200211002100
41321023302022330
513130440212340
6533425025100
7101245224120
oct17113621274
95220624070
102033132220
11953717369
12488a85190
132652a7c22
14154041580
15bd759830
hex792f22bc

2033132220 has 72 divisors (see below), whose sum is σ = 7048196064. Its totient is φ = 464715648.

The previous prime is 2033132209. The next prime is 2033132329. The reversal of 2033132220 is 222313302.

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 = 2033132193 and 2033132202.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 805539 + ... + 808058.

It is an arithmetic number, because the mean of its divisors is an integer number (97891612).

Almost surely, 22033132220 is an apocalyptic number.

2033132220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2033132220 is an abundant number, since it is smaller than the sum of its proper divisors (5015063844).

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

2033132220 is a wasteful number, since it uses less digits than its factorization.

2033132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613619 (or 1613614 counting only the distinct ones).

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

The square root of 2033132220 is about 45090.2674642766. The cubic root of 2033132220 is about 1266.8403112205.

Adding to 2033132220 its reverse (222313302), we get a palindrome (2255445522).

The spelling of 2033132220 in words is "two billion, thirty-three million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1613597 3227194 4840791 6454388 8067985 9681582 11295179 14522373 16135970 19363164 22590358 24203955 29044746 32271940 33885537 45180716 48407910 56475895 58089492 67771074 72611865 96815820 101656611 112951790 135542148 145223730 169427685 203313222 225903580 290447460 338855370 406626444 508283055 677710740 1016566110 2033132220