Search a number
-
+
22158406449 = 32294592
BaseRepresentation
bin10100101000101111…
…100111001100110001
32010012020221200021100
4110220233213030301
5330340023001244
614102431315013
71413051230034
oct245057471461
963166850240
1022158406449
11944092a803
12436497ba69
13212190530a
141102c1701b
1589a4bdb69
hex528be7331

22158406449 has 45 divisors (see below), whose sum is σ = 33721059853. Its totient is φ = 14021138544.

The previous prime is 22158406447. The next prime is 22158406453. The reversal of 22158406449 is 94460485122.

It is a happy number.

The square root of 22158406449 is 148857.

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

22158406449 is a `hidden beast` number, since 2 + 2 + 1 + 584 + 0 + 64 + 4 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52664049 + 22105742400 = 7257^2 + 148680^2 .

It is not a de Polignac number, because 22158406449 - 21 = 22158406447 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22158406447) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 375566182 + ... + 375566240.

Almost surely, 222158406449 is an apocalyptic number.

22158406449 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

22158406449 is the 148857-th square number.

22158406449 is the 74429-th centered octagonal number.

It is an amenable number.

22158406449 is a deficient number, since it is larger than the sum of its proper divisors (11562653404).

22158406449 is an frugal number, since it uses more digits than its factorization.

22158406449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 22158406449 in words is "twenty-two billion, one hundred fifty-eight million, four hundred six thousand, four hundred forty-nine".

Divisors: 1 3 9 29 59 87 177 261 531 841 1711 2523 3481 5133 7569 10443 15399 24389 31329 49619 73167 100949 148857 219501 302847 446571 707281 908541 1438951 2121843 2927521 4316853 6365529 8782563 12950559 26347689 41729579 84898109 125188737 254694327 375566211 764082981 2462045161 7386135483 22158406449