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22971342969 = 3219226592
BaseRepresentation
bin10101011001001100…
…101110000001111001
32012021220122010112100
4111121030232001321
5334021130433334
614315231334013
71442152123251
oct253114560171
965256563470
1022971342969
1198187a6a73
124551081309
132221167543
14117cb8c961
158e6a4dc99
hex55932e079

22971342969 has 27 divisors (see below), whose sum is σ = 35032276773. Its totient is φ = 14502760344.

The previous prime is 22971342967. The next prime is 22971342971. The reversal of 22971342969 is 96924317922.

The square root of 22971342969 is 151563.

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

22971342969 is a `hidden beast` number, since 2 + 297 + 1 + 342 + 9 + 6 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (22971342967) and next prime (22971342971).

It is not a de Polignac number, because 22971342969 - 21 = 22971342967 is a prime.

It is a super-2 number, since 2×229713429692 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22971342967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8637762 + ... + 8640420.

Almost surely, 222971342969 is an apocalyptic number.

22971342969 is the 151563-rd square number.

22971342969 is the 75782-nd centered octagonal number.

It is an amenable number.

22971342969 is a deficient number, since it is larger than the sum of its proper divisors (12060933804).

22971342969 is an frugal number, since it uses more digits than its factorization.

22971342969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5362 (or 2681 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

It can be divided in two parts, 22971 and 342969, that added together give a triangular number (365940 = T855).

The spelling of 22971342969 in words is "twenty-two billion, nine hundred seventy-one million, three hundred forty-two thousand, nine hundred sixty-nine".

Divisors: 1 3 9 19 57 171 361 1083 2659 3249 7977 23931 50521 151563 454689 959899 2879697 7070281 8639091 21210843 63632529 134335339 403006017 1209018051 2552371441 7657114323 22971342969