Search a number
-
+
94192682220 = 223457133120611
BaseRepresentation
bin101011110111001010…
…0100100010011101100
3100000010110011000220000
41113232110210103230
53020401311312340
6111134352024300
76543116405610
oct1275624442354
9300113130800
1094192682220
1136a4634a31a
1216308b32090
138b61638230
1447b7a8b340
1526b44b2d30
hex15ee5244ec

94192682220 has 480 divisors, whose sum is σ = 375424659456. Its totient is φ = 19231603200.

The previous prime is 94192682173. The next prime is 94192682237. The reversal of 94192682220 is 2228629149.

94192682220 is a `hidden beast` number, since 9 + 419 + 2 + 6 + 8 + 2 + 220 = 666.

It is a super-2 number, since 2×941926822202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4559715 + ... + 4580325.

Almost surely, 294192682220 is an apocalyptic number.

94192682220 is a gapful number since it is divisible by the number (90) 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 94192682220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187712329728).

94192682220 is an abundant number, since it is smaller than the sum of its proper divisors (281231977236).

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

94192682220 is a wasteful number, since it uses less digits than its factorization.

94192682220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20683 (or 20672 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 94192682220 in words is "ninety-four billion, one hundred ninety-two million, six hundred eighty-two thousand, two hundred twenty".