Search a number
-
+
94770225 = 3252112592
BaseRepresentation
bin1011010011000…
…01010000110001
320121022211022100
411221201100301
5143230121400
613223131013
72230351014
oct551412061
9217284270
1094770225
114954a300
12278a3a69
1316832274
14c82d37b
1584c0100
hex5a61431

94770225 has 81 divisors (see below), whose sum is σ = 189794059. Its totient is φ = 45170400.

The previous prime is 94770127. The next prime is 94770253. The reversal of 94770225 is 52207749.

The square root of 94770225 is 9735.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 34117281 + 60652944 = 5841^2 + 7788^2 .

It is not a de Polignac number, because 94770225 - 213 = 94762033 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 94770225.

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 80 ways as a sum of consecutive naturals, for example, 1606246 + ... + 1606304.

Almost surely, 294770225 is an apocalyptic number.

94770225 is the 9735-th square number.

94770225 is the 4868-th centered octagonal number.

It is an amenable number.

94770225 is an abundant number, since it is smaller than the sum of its proper divisors (95023834).

94770225 is a wasteful number, since it uses less digits than its factorization.

94770225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The cubic root of 94770225 is about 455.9220925305.

Multiplying 94770225 by its sum of digits (36), we get a square (3411728100 = 584102).

The spelling of 94770225 in words is "ninety-four million, seven hundred seventy thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 59 75 99 121 165 177 225 275 295 363 495 531 605 649 825 885 1089 1475 1815 1947 2475 2655 3025 3245 3481 4425 5445 5841 7139 9075 9735 10443 13275 16225 17405 21417 27225 29205 31329 35695 38291 48675 52215 64251 87025 107085 114873 146025 156645 178475 191455 261075 321255 344619 421201 535425 574365 783225 957275 1263603 1606275 1723095 2106005 2871825 3790809 6318015 8615475 10530025 18954045 31590075 94770225