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2240332002 = 232124462889
BaseRepresentation
bin1000010110001000…
…1100000011100010
312210010120122202100
42011202030003202
514042011111002
61010150031230
7106342336116
oct20542140342
95703518670
102240332002
11a4a677657
12526348516
132991b334c
14173779746
15d1a3711c
hex8588c0e2

2240332002 has 12 divisors (see below), whose sum is σ = 4854052710. Its totient is φ = 746777328.

The previous prime is 2240331991. The next prime is 2240332013. The reversal of 2240332002 is 2002330422.

It is an interprime number because it is at equal distance from previous prime (2240331991) and next prime (2240332013).

It can be written as a sum of positive squares in only one way, i.e., 2103231321 + 137100681 = 45861^2 + 11709^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 124462889 = 2240332002 / (2 + 2 + 4 + 0 + 3 + 3 + 2 + 0 + 0 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62231427 + ... + 62231462.

Almost surely, 22240332002 is an apocalyptic number.

2240332002 is an abundant number, since it is smaller than the sum of its proper divisors (2613720708).

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

2240332002 is a wasteful number, since it uses less digits than its factorization.

2240332002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124462897 (or 124462894 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2240332002 is about 47332.1455461296. The cubic root of 2240332002 is about 1308.4911637723.

Adding to 2240332002 its reverse (2002330422), we get a palindrome (4242662424).

The spelling of 2240332002 in words is "two billion, two hundred forty million, three hundred thirty-two thousand, two".

Divisors: 1 2 3 6 9 18 124462889 248925778 373388667 746777334 1120166001 2240332002