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422956436 = 227231151461
BaseRepresentation
bin11001001101011…
…100110110010100
31002110212102011012
4121031130312110
51331234101221
6105545231352
713324033100
oct3115346624
91073772135
10422956436
111a7825481
12b9792558
136981b5a6
144025c900
15271ea65b
hex1935cd94

422956436 has 72 divisors (see below), whose sum is σ = 896620032. Its totient is φ = 173880000.

The previous prime is 422956433. The next prime is 422956517. The reversal of 422956436 is 634659224.

It is a junction number, because it is equal to n+sod(n) for n = 422956393 and 422956402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422956433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 917246 + ... + 917706.

It is an arithmetic number, because the mean of its divisors is an integer number (12453056).

Almost surely, 2422956436 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 422956436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448310016).

422956436 is an abundant number, since it is smaller than the sum of its proper divisors (473663596).

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

422956436 is a wasteful number, since it uses less digits than its factorization.

422956436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 652 counting only the distinct ones).

The product of its digits is 311040, while the sum is 41.

The square root of 422956436 is about 20565.9046968520. The cubic root of 422956436 is about 750.6403041548.

The spelling of 422956436 in words is "four hundred twenty-two million, nine hundred fifty-six thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 151 196 217 302 434 461 604 868 922 1057 1519 1844 2114 3038 3227 4228 4681 6076 6454 7399 9362 12908 14291 14798 18724 22589 28582 29596 32767 45178 57164 65534 69611 90356 100037 131068 139222 200074 229369 278444 400148 458738 487277 700259 917476 974554 1400518 1949108 2157941 2801036 3410939 4315882 6821878 8631764 13643756 15105587 30211174 60422348 105739109 211478218 422956436