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2240003322 = 234591311789
BaseRepresentation
bin1000010110000011…
…1011110011111010
312210002221221220000
42011200323303322
514041420101242
61010135013430
7106336466634
oct20540736372
95702857800
102240003322
11a4a472717
1252620a276
132990c986b
141736d1a54
15d19bea4c
hex8583bcfa

2240003322 has 80 divisors (see below), whose sum is σ = 5146178400. Its totient is φ = 728002080.

The previous prime is 2240003303. The next prime is 2240003357. The reversal of 2240003322 is 2233000422.

It is a super-2 number, since 2×22400033222 = 10035229765142071368, which contains 22 as substring.

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 = 2240003295 and 2240003304.

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 39 ways as a sum of consecutive naturals, for example, 1251204 + ... + 1252992.

It is an arithmetic number, because the mean of its divisors is an integer number (64327230).

Almost surely, 22240003322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240003322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573089200).

2240003322 is an abundant number, since it is smaller than the sum of its proper divisors (2906175078).

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

2240003322 is a wasteful number, since it uses less digits than its factorization.

2240003322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1984 counting only the distinct ones).

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

The square root of 2240003322 is about 47328.6733598143. The cubic root of 2240003322 is about 1308.4271708895.

Adding to 2240003322 its reverse (2233000422), we get a palindrome (4473003744).

The spelling of 2240003322 in words is "two billion, two hundred forty million, three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 131 162 177 262 354 393 531 786 1062 1179 1593 1789 2358 3186 3537 3578 4779 5367 7074 7729 9558 10611 10734 15458 16101 21222 23187 32202 46374 48303 69561 96606 105551 139122 144909 208683 211102 234359 289818 316653 417366 468718 626049 633306 703077 949959 1252098 1406154 1899918 2109231 2849877 4218462 5699754 6327693 8549631 12655386 13827181 17099262 18983079 27654362 37966158 41481543 82963086 124444629 248889258 373333887 746667774 1120001661 2240003322