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422015132 = 2271123411453
BaseRepresentation
bin11001001001110…
…111000010011100
31002102002120221002
4121021313002130
51331013441012
6105513125432
713313032550
oct3111670234
91072076832
10422015132
111a7242240
12b93b9878
136957bcc6
1440095860
15270b17c2
hex1927709c

422015132 has 96 divisors (see below), whose sum is σ = 984904704. Its totient is φ = 153331200.

The previous prime is 422015131. The next prime is 422015147. The reversal of 422015132 is 231510224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422015131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289718 + ... + 291170.

It is an arithmetic number, because the mean of its divisors is an integer number (10259424).

Almost surely, 2422015132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422015132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492452352).

422015132 is an abundant number, since it is smaller than the sum of its proper divisors (562889572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422015132 is a wasteful number, since it uses less digits than its factorization.

422015132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 422015132 is about 20543.0068879899. The cubic root of 422015132 is about 750.0830319924.

Adding to 422015132 its reverse (231510224), we get a palindrome (653525356).

The spelling of 422015132 in words is "four hundred twenty-two million, fifteen thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 23 28 41 44 46 77 82 92 154 161 164 253 287 308 322 451 506 574 644 902 943 1012 1148 1453 1771 1804 1886 2906 3157 3542 3772 5812 6314 6601 7084 10171 10373 12628 13202 15983 20342 20746 26404 31966 33419 40684 41492 59573 63932 66838 72611 111881 119146 133676 145222 223762 233933 238292 290444 367609 417011 447524 467866 655303 735218 834022 935732 1310606 1370179 1470436 1668044 2573263 2621212 2740358 4587121 5146526 5480716 9174242 9591253 10293052 15071969 18348484 19182506 30143938 38365012 60287876 105503783 211007566 422015132