Search a number
-
+
22155429409 = 73220392
BaseRepresentation
bin10100101000100100…
…010000011000100001
32010012001100102112121
4110220210100120201
5330333242220114
614102243424241
71413014020441
oct245044203041
963161312477
1022155429409
11943a187043
124363985081
132121102259
141102680121
1589a0d1a24
hex528910621

22155429409 has 9 divisors (see below), whose sum is σ = 22474108083. Its totient is φ = 21841213392.

The previous prime is 22155429343. The next prime is 22155429437. The reversal of 22155429409 is 90492455122.

The square root of 22155429409 is 148847.

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., 12576501025 + 9578928384 = 112145^2 + 97872^2 .

It is not a de Polignac number, because 22155429409 - 231 = 20007945761 is a prime.

It is a super-4 number, since 4×221554294094 (a number of 42 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22155429479) 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 8 ways as a sum of consecutive naturals, for example, 10864812 + ... + 10866850.

Almost surely, 222155429409 is an apocalyptic number.

22155429409 is the 148847-th square number.

22155429409 is the 74424-th centered octagonal number.

It is an amenable number.

22155429409 is a deficient number, since it is larger than the sum of its proper divisors (318678674).

22155429409 is an frugal number, since it uses more digits than its factorization.

22155429409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 22155429409 in words is "twenty-two billion, one hundred fifty-five million, four hundred twenty-nine thousand, four hundred nine".

Divisors: 1 73 2039 5329 148847 4157521 10865831 303499033 22155429409