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29322225 = 3252194
BaseRepresentation
bin110111111011…
…0101111110001
32001011201112100
41233312233301
530001302400
62524251013
7504143352
oct157665761
961151470
1029322225
1115608249
1299a0a69
1360c863a
143c73d29
152893100
hex1bf6bf1

29322225 has 45 divisors (see below), whose sum is σ = 55437083. Its totient is φ = 14815440.

The previous prime is 29322191. The next prime is 29322239. The reversal of 29322225 is 52222392.

The square root of 29322225 is 5415.

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., 10556001 + 18766224 = 3249^2 + 4332^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 29322225 - 211 = 29320177 is a prime.

It is a Duffinian number.

Its product of digits (4320) is a multiple of the sum of its prime divisors (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1543266 + ... + 1543284.

Almost surely, 229322225 is an apocalyptic number.

29322225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29322225 is the 5415-th square number.

29322225 is the 2708-th centered octagonal number.

It is an amenable number.

29322225 is a deficient number, since it is larger than the sum of its proper divisors (26114858).

29322225 is an frugal number, since it uses more digits than its factorization.

29322225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 27 counting only the distinct ones).

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

The cubic root of 29322225 is about 308.3653988241.

The spelling of 29322225 in words is "twenty-nine million, three hundred twenty-two 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 1805 3249 4275 5415 6859 9025 16245 20577 27075 34295 61731 81225 102885 130321 171475 308655 390963 514425 651605 1172889 1543275 1954815 3258025 5864445 9774075 29322225