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2240641072 = 241721139041
BaseRepresentation
bin1000010110001101…
…0111100000110000
312210011011100201101
42011203113200300
514042101003242
61010200414144
7106345064155
oct20543274060
95704140641
102240641072
11a4a86888a
12526477354
13299290c27
1417381a22c
15d1a989b7
hex858d7830

2240641072 has 40 divisors (see below), whose sum is σ = 4618512432. Its totient is φ = 1049395200.

The previous prime is 2240641057. The next prime is 2240641087. The reversal of 2240641072 is 2701460422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2240641057) and next prime (2240641087).

It is a self number, because there is not a number n which added to its sum of digits gives 2240641072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37872 + ... + 76912.

Almost surely, 22240641072 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 2240641072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309256216).

2240641072 is an abundant number, since it is smaller than the sum of its proper divisors (2377871360).

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

2240641072 is a wasteful number, since it uses less digits than its factorization.

2240641072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39277 (or 39271 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2240641072 is about 47335.4103394066. The cubic root of 2240641072 is about 1308.5513329448.

The spelling of 2240641072 in words is "two billion, two hundred forty million, six hundred forty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 17 34 68 136 211 272 422 844 1688 3376 3587 7174 14348 28696 39041 57392 78082 156164 312328 624656 663697 1327394 2654788 5309576 8237651 10619152 16475302 32950604 65901208 131802416 140040067 280080134 560160268 1120320536 2240641072