Search a number
-
+
195222720 = 263571119139
BaseRepresentation
bin10111010001011…
…01110011000000
3111121100100020010
423220231303000
5344434111340
631212144520
74560236310
oct1350556300
9447310203
10195222720
11a021a7a0
1255468140
13315a3a04
141bcdb440
1512213b80
hexba2dcc0

195222720 has 448 divisors, whose sum is σ = 819302400. Its totient is φ = 38154240.

The previous prime is 195222719. The next prime is 195222721. The reversal of 195222720 is 27222591.

It is an interprime number because it is at equal distance from previous prime (195222719) and next prime (195222721).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1952227202 = 76223820808396800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (195222721) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1404411 + ... + 1404549.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 2195222720 is an apocalyptic number.

195222720 is a gapful number since it is divisible by the number (10) 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 195222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409651200).

195222720 is an abundant number, since it is smaller than the sum of its proper divisors (624079680).

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

195222720 is a wasteful number, since it uses less digits than its factorization.

195222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 195222720 is about 13972.2124232349. The cubic root of 195222720 is about 580.1096899160.

The spelling of 195222720 in words is "one hundred ninety-five million, two hundred twenty-two thousand, seven hundred twenty".