Search a number
-
+
95032224 = 2533719827
BaseRepresentation
bin1011010101000…
…01001110100000
320121211010201000
411222201032200
5143312012344
613232512000
72232521610
oct552411640
9217733630
1095032224
1149709131
12279ab600
13168c45b1
14c89aa40
158522a69
hex5aa13a0

95032224 has 192 divisors, whose sum is σ = 333849600. Its totient is φ = 25691904.

The previous prime is 95032211. The next prime is 95032253. The reversal of 95032224 is 42223059.

It is a super-2 number, since 2×950322242 = 18062247196772352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114499 + ... + 115325.

It is an arithmetic number, because the mean of its divisors is an integer number (1738800).

Almost surely, 295032224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166924800).

95032224 is an abundant number, since it is smaller than the sum of its proper divisors (238817376).

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

95032224 is a wasteful number, since it uses less digits than its factorization.

95032224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 95032224 is about 9748.4472609744. The cubic root of 95032224 is about 456.3418489257.

The spelling of 95032224 in words is "ninety-five million, thirty-two thousand, two hundred twenty-four".