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2252222200 = 235219757163
BaseRepresentation
bin1000011000111110…
…0010111011111000
312210221221202001001
42012033202323320
514103032102300
61011252534344
7106545400324
oct20617427370
95727852031
102252222200
11a56358968
1252a3213b4
1329b7b7377
14175192984
15d2ad516a
hex863e2ef8

2252222200 has 48 divisors (see below), whose sum is σ = 5263089480. Its totient is φ = 896300160.

The previous prime is 2252222179. The next prime is 2252222243. The reversal of 2252222200 is 22222522.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 10819 + ... + 67981.

Almost surely, 22252222200 is an apocalyptic number.

2252222200 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 2252222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631544740).

2252222200 is an abundant number, since it is smaller than the sum of its proper divisors (3010867280).

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

2252222200 is a wasteful number, since it uses less digits than its factorization.

2252222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57376 (or 57367 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 2252222200 is about 47457.5831664445. The cubic root of 2252222200 is about 1310.8019486076.

Adding to 2252222200 its reverse (22222522), we get a palindrome (2274444722).

The spelling of 2252222200 in words is "two billion, two hundred fifty-two million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 197 200 394 788 985 1576 1970 3940 4925 7880 9850 19700 39400 57163 114326 228652 285815 457304 571630 1143260 1429075 2286520 2858150 5716300 11261111 11432600 22522222 45044444 56305555 90088888 112611110 225222220 281527775 450444440 563055550 1126111100 2252222200