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140067225 = 34522632
BaseRepresentation
bin10000101100101…
…00000110011001
3100202120011010000
420112110012121
5241324122400
621522043213
73320360154
oct1026240631
9322504100
10140067225
1172078641
123aaa9509
1323031b1c
1414860c9b
15c46b600
hex8594199

140067225 has 45 divisors (see below), whose sum is σ = 260443183. Its totient is φ = 74418480.

The previous prime is 140067143. The next prime is 140067227. The reversal of 140067225 is 522760041.

The square root of 140067225 is 11835.

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., 50424201 + 89643024 = 7101^2 + 9468^2 .

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

It is not a de Polignac number, because 140067225 - 227 = 5849497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (140067227) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 532444 + ... + 532706.

Almost surely, 2140067225 is an apocalyptic number.

140067225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

140067225 is the 11835-th square number.

140067225 is the 5918-th centered octagonal number.

It is an amenable number.

140067225 is a deficient number, since it is larger than the sum of its proper divisors (120375958).

140067225 is an frugal number, since it uses more digits than its factorization.

140067225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The cubic root of 140067225 is about 519.3325076993.

The spelling of 140067225 in words is "one hundred forty million, sixty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 263 405 675 789 1315 2025 2367 3945 6575 7101 11835 19725 21303 35505 59175 69169 106515 177525 207507 345845 532575 622521 1037535 1729225 1867563 3112605 5187675 5602689 9337815 15563025 28013445 46689075 140067225