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2200142340 = 22325111111183
BaseRepresentation
bin1000001100100011…
…1000001000000100
312200022221210220100
42003020320020010
514001214023330
61002152404100
7105343621104
oct20310701004
95608853810
102200142340
11a29a17560
125149a6630
13290a81396
1416c2b7204
15cd249060
hex83238204

2200142340 has 72 divisors (see below), whose sum is σ = 7280477568. Its totient is φ = 533367360.

The previous prime is 2200142317. The next prime is 2200142341. The reversal of 2200142340 is 432410022.

2200142340 is a `hidden beast` number, since 2 + 200 + 1 + 423 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2200142341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 553612 + ... + 557571.

It is an arithmetic number, because the mean of its divisors is an integer number (101117744).

Almost surely, 22200142340 is an apocalyptic number.

2200142340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200142340 is an abundant number, since it is smaller than the sum of its proper divisors (5080335228).

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

2200142340 is a wasteful number, since it uses less digits than its factorization.

2200142340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111209 (or 1111204 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2200142340 is about 46905.6749231903. The cubic root of 2200142340 is about 1300.6194956687.

Adding to 2200142340 its reverse (432410022), we get a palindrome (2632552362).

The spelling of 2200142340 in words is "two billion, two hundred million, one hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 1111183 2222366 3333549 4444732 5555915 6667098 10000647 11111830 12223013 13334196 16667745 20001294 22223660 24446026 33335490 36669039 40002588 48892052 50003235 61115065 66670980 73338078 100006470 110007117 122230130 146676156 183345195 200012940 220014234 244460260 366690390 440028468 550035585 733380780 1100071170 2200142340