Search a number
-
+
222915100 = 225211319727
BaseRepresentation
bin11010100100101…
…10101000011100
3120112110021000211
431102112220130
5424031240400
634041502204
75344514152
oct1522265034
9515407024
10222915100
11104914461
12627a1964
133724b535
14218693d2
1514883dba
hexd496a1c

222915100 has 36 divisors (see below), whose sum is σ = 488031264. Its totient is φ = 88372480.

The previous prime is 222915089. The next prime is 222915151. The reversal of 222915100 is 1519222.

It is a super-2 number, since 2×2229151002 = 99382283616020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1437 + ... + 21163.

It is an arithmetic number, because the mean of its divisors is an integer number (13556424).

Almost surely, 2222915100 is an apocalyptic number.

222915100 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 222915100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244015632).

222915100 is an abundant number, since it is smaller than the sum of its proper divisors (265116164).

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

222915100 is a wasteful number, since it uses less digits than its factorization.

222915100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19854 (or 19847 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 222915100 is about 14930.3415901981. The cubic root of 222915100 is about 606.3357323756.

The spelling of 222915100 in words is "two hundred twenty-two million, nine hundred fifteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 5650 11300 19727 39454 78908 98635 197270 394540 493175 986350 1972700 2229151 4458302 8916604 11145755 22291510 44583020 55728775 111457550 222915100