Search a number
-
+
332661121 = 132232612
BaseRepresentation
bin10011110101000…
…000000110000001
3212011221221021021
4103311000012001
51140130123441
653002025441
711146400332
oct2365000601
9764857237
10332661121
11160862251
12934a8281
1353bc5100
1432276289
151e3113d1
hex13d40181

332661121 has 27 divisors (see below), whose sum is σ = 382835817. Its totient is φ = 288905760.

The previous prime is 332661113. The next prime is 332661163. The reversal of 332661121 is 121166233.

The square root of 332661121 is 18239.

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

It can be written as a sum of positive squares in 4 ways, for example, as 233937025 + 98724096 = 15295^2 + 9936^2 .

It is not a de Polignac number, because 332661121 - 23 = 332661113 is a prime.

It is a super-2 number, since 2×3326611212 = 221326842849953282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332661221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5453431 + ... + 5453491.

Almost surely, 2332661121 is an apocalyptic number.

332661121 is the 18239-th square number.

332661121 is the 9120-th centered octagonal number.

It is an amenable number.

332661121 is a deficient number, since it is larger than the sum of its proper divisors (50174696).

332661121 is an equidigital number, since it uses as much as digits as its factorization.

332661121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 97 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The cubic root of 332661121 is about 692.8948746903.

Multiplying 332661121 by its sum of digits (25), we get a square (8316528025 = 911952).

Multiplying 332661121 by its product of digits (1296), we get a square (431128812816 = 6566042).

The spelling of 332661121 in words is "three hundred thirty-two million, six hundred sixty-one thousand, one hundred twenty-one".

Divisors: 1 13 23 61 169 299 529 793 1403 3721 3887 6877 10309 18239 32269 48373 85583 89401 237107 419497 628849 1112579 1968409 5453461 14463527 25589317 332661121