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2002122200 = 235213770047
BaseRepresentation
bin111011101010101…
…1111010111011000
312011112100100100002
41313111133113120
513100020402300
6530400232132
7100420520651
oct16725372730
95145310302
102002122200
11938167051
1247a60b648
1325ba3b2c0
1414dc8c528
15bab815d5
hex7755f5d8

2002122200 has 48 divisors (see below), whose sum is σ = 5013012480. Its totient is φ = 739244160.

The previous prime is 2002122173. The next prime is 2002122203. The reversal of 2002122200 is 22212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002122203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 382424 + ... + 387623.

It is an arithmetic number, because the mean of its divisors is an integer number (104437760).

Almost surely, 22002122200 is an apocalyptic number.

2002122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002122200 is an abundant number, since it is smaller than the sum of its proper divisors (3010890280).

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

2002122200 is a wasteful number, since it uses less digits than its factorization.

2002122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770076 (or 770067 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2002122200 is about 44745.0801764842. The cubic root of 2002122200 is about 1260.3665264423.

Adding to 2002122200 its reverse (22212002), we get a palindrome (2024334202).

The spelling of 2002122200 in words is "two billion, two million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 770047 1540094 3080188 3850235 6160376 7700470 10010611 15400940 19251175 20021222 30801880 38502350 40042444 50053055 77004700 80084888 100106110 154009400 200212220 250265275 400424440 500530550 1001061100 2002122200