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21880622241 = 32493072
BaseRepresentation
bin10100011000001011…
…111100110010100001
32002110220020202222100
4110120023330302201
5324302414402431
614015105401013
71403136135402
oct243013746241
962426222870
1021880622241
11930904a385
1242a7939169
1320a91b536a
1410b7d879a9
15880dec4e6
hex5182fcca1

21880622241 has 9 divisors (see below), whose sum is σ = 31605984241. Its totient is φ = 14586785652.

The previous prime is 21880622219. The next prime is 21880622251. The reversal of 21880622241 is 14222608812.

The square root of 21880622241 is 147921.

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

21880622241 is a `hidden beast` number, since 2 + 1 + 8 + 8 + 0 + 622 + 24 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 21880622241 - 25 = 21880622209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21880622196 and 21880622205.

It is not an unprimeable number, because it can be changed into a prime (21880622201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 419110 + ... + 468416.

Almost surely, 221880622241 is an apocalyptic number.

21880622241 is the 147921-st square number.

21880622241 is the 73961-st centered octagonal number.

It is an amenable number.

21880622241 is a deficient number, since it is larger than the sum of its proper divisors (9725362000).

21880622241 is an frugal number, since it uses more digits than its factorization.

21880622241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98620 (or 49310 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Multiplying 21880622241 by its sum of digits (36), we get a square (787702400676 = 8875262).

The spelling of 21880622241 in words is "twenty-one billion, eight hundred eighty million, six hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 3 9 49307 147921 443763 2431180249 7293540747 21880622241