Search a number
-
+
120294225 = 32521921481
BaseRepresentation
bin1110010101110…
…00101101010001
322101100120122200
413022320231101
5221243403400
615534153413
72660325012
oct712705521
9271316580
10120294225
11619a2917
1234352869
131bbcab1c
1411d95009
15a862b00
hex72b8b51

120294225 has 54 divisors (see below), whose sum is σ = 227550726. Its totient is φ = 60739200.

The previous prime is 120294217. The next prime is 120294299. The reversal of 120294225 is 522492021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5461569 + 114832656 = 2337^2 + 10716^2 .

It is not a de Polignac number, because 120294225 - 23 = 120294217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 80485 + ... + 81965.

Almost surely, 2120294225 is an apocalyptic number.

120294225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120294225 is a deficient number, since it is larger than the sum of its proper divisors (107256501).

120294225 is a wasteful number, since it uses less digits than its factorization.

120294225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 120294225 is about 10967.8724007895. The cubic root of 120294225 is about 493.6452087605.

The spelling of 120294225 in words is "one hundred twenty million, two hundred ninety-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 225 285 361 475 855 1083 1425 1481 1805 3249 4275 4443 5415 7405 9025 13329 16245 22215 27075 28139 37025 66645 81225 84417 111075 140695 253251 333225 422085 534641 703475 1266255 1603923 2110425 2673205 4811769 6331275 8019615 13366025 24058845 40098075 120294225