Search a number
-
+
22874343640369 = 132167222032
BaseRepresentation
bin1010011001101110110010…
…01000001000110100110001
32222222202200100010022220021
411030313121020020310301
510444233123432442434
6120352154533443441
74550421362604124
oct514673110106461
988882610108807
1022874343640369
117319a55719a11
12269524b4a0581
13c9c06cacb100
145911a48d23bb
1529a032c6acb4
hex14cdd9208d31

22874343640369 has 27 divisors (see below), whose sum is σ = 24929783025003. Its totient is φ = 20978815779792.

The previous prime is 22874343640321. The next prime is 22874343640397. The reversal of 22874343640369 is 96304634347822.

The square root of 22874343640369 is 4782713.

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., 3383778645025 + 19490564995344 = 1839505^2 + 4414812^2 .

It is not a de Polignac number, because 22874343640369 - 29 = 22874343639857 is a prime.

It is a super-2 number, since 2×228743436403692 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22874313640369) 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, 10383268822 + ... + 10383271024.

Almost surely, 222874343640369 is an apocalyptic number.

22874343640369 is the 4782713-rd square number.

22874343640369 is the 2391357-th centered octagonal number.

It is an amenable number.

22874343640369 is a deficient number, since it is larger than the sum of its proper divisors (2055439384634).

22874343640369 is an frugal number, since it uses more digits than its factorization.

22874343640369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 61.

The spelling of 22874343640369 in words is "twenty-two trillion, eight hundred seventy-four billion, three hundred forty-three million, six hundred forty thousand, three hundred sixty-nine".

Divisors: 1 13 167 169 2171 2203 27889 28223 28639 362557 367901 372307 4713241 4782713 4853209 61439467 62175269 63091717 798713071 810485903 820192321 10383269923 10536316739 135351145801 136972117607 1759564895413 22874343640369