Search a number
-
+
93228192 = 2533107903
BaseRepresentation
bin1011000111010…
…00110010100000
320111102111001000
411203220302200
5142331300232
613130112000
72211266211
oct543506240
9214374030
1093228192
11486967a2
122727b600
1316412415
14c54b408
1582b827c
hex58e8ca0

93228192 has 48 divisors (see below), whose sum is σ = 271918080. Its totient is φ = 31075776.

The previous prime is 93228169. The next prime is 93228211. The reversal of 93228192 is 29182239.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 53088 + ... + 54815.

It is an arithmetic number, because the mean of its divisors is an integer number (5664960).

Almost surely, 293228192 is an apocalyptic number.

It is an amenable number.

93228192 is an abundant number, since it is smaller than the sum of its proper divisors (178689888).

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

93228192 is a wasteful number, since it uses less digits than its factorization.

93228192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107922 (or 107908 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 93228192 is about 9655.4747164497. The cubic root of 93228192 is about 453.4357457973.

The spelling of 93228192 in words is "ninety-three million, two hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 107903 215806 323709 431612 647418 863224 971127 1294836 1726448 1942254 2589672 2913381 3452896 3884508 5179344 5826762 7769016 10358688 11653524 15538032 23307048 31076064 46614096 93228192