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22132032221 = 1337149308809
BaseRepresentation
bin10100100111001011…
…000000001011011101
32010010102022201122002
4110213023000023131
5330311300012341
614100050132045
71412311112165
oct244713001335
963112281562
1022132032221
119427a56422
124357b81025
1321192cc770
1410dd50d5a5
1589800e29b
hex5272c02dd

22132032221 has 16 divisors (see below), whose sum is σ = 24643038000. Its totient is φ = 19743948288.

The previous prime is 22132032217. The next prime is 22132032259. The reversal of 22132032221 is 12223023122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 537729721 + 21594302500 = 23189^2 + 146950^2 .

It is not a de Polignac number, because 22132032221 - 22 = 22132032217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22132032193 and 22132032202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132032281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82736 + ... + 226073.

It is an arithmetic number, because the mean of its divisors is an integer number (1540189875).

Almost surely, 222132032221 is an apocalyptic number.

It is an amenable number.

22132032221 is a deficient number, since it is larger than the sum of its proper divisors (2511005779).

22132032221 is a wasteful number, since it uses less digits than its factorization.

22132032221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309008.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22132032221 its reverse (12223023122), we get a palindrome (34355055343).

Subtracting from 22132032221 its reverse (12223023122), we obtain a palindrome (9909009099).

The spelling of 22132032221 in words is "twenty-two billion, one hundred thirty-two million, thirty-two thousand, two hundred twenty-one".

Divisors: 1 13 37 149 481 1937 5513 71669 308809 4014517 11425933 46012541 148537129 598163033 1702464017 22132032221