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2221499040 = 253510145823
BaseRepresentation
bin1000010001101001…
…0110001010100000
312201211010211210020
42010122112022200
514022200432130
61004234233440
7106023300405
oct20432261240
95654124706
102221499040
11a3aa84122
1251bb85880
1329531b197
141710762ac
15d0066e10
hex846962a0

2221499040 has 96 divisors (see below), whose sum is σ = 7067160576. Its totient is φ = 586521600.

The previous prime is 2221499009. The next prime is 2221499047. The reversal of 2221499040 is 409941222.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2221498992 and 2221499010.

It is not an unprimeable number, because it can be changed into a prime (2221499047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 25569 + ... + 71391.

It is an arithmetic number, because the mean of its divisors is an integer number (73616256).

Almost surely, 22221499040 is an apocalyptic number.

2221499040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533580288).

2221499040 is an abundant number, since it is smaller than the sum of its proper divisors (4845661536).

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

2221499040 is a wasteful number, since it uses less digits than its factorization.

2221499040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45942 (or 45934 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2221499040 is about 47132.7809491441. The cubic root of 2221499040 is about 1304.8143068970.

The spelling of 2221499040 in words is "two billion, two hundred twenty-one million, four hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 101 120 160 202 240 303 404 480 505 606 808 1010 1212 1515 1616 2020 2424 3030 3232 4040 4848 6060 8080 9696 12120 16160 24240 45823 48480 91646 137469 183292 229115 274938 366584 458230 549876 687345 733168 916460 1099752 1374690 1466336 1832920 2199504 2749380 3665840 4399008 4628123 5498760 7331680 9256246 10997520 13884369 18512492 21995040 23140615 27768738 37024984 46281230 55537476 69421845 74049968 92562460 111074952 138843690 148099936 185124920 222149904 277687380 370249840 444299808 555374760 740499680 1110749520 2221499040