Search a number
-
+
422621136 = 243272318229
BaseRepresentation
bin11001001100001…
…010111111010000
31002110020101012200
4121030022333100
51331142334021
6105534123200
713321135410
oct3114127720
91073211180
10422621136
111a7616573
12b9650500
1369731aa2
14401b2640
1527181126
hex1930afd0

422621136 has 120 divisors (see below), whose sum is σ = 1410564480. Its totient is φ = 115492608.

The previous prime is 422621119. The next prime is 422621137. The reversal of 422621136 is 631126224.

422621136 is a `hidden beast` number, since 4 + 2 + 2 + 621 + 1 + 36 = 666.

It is a super-3 number, since 3×4226211363 (a number of 27 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422621137) 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, 14070 + ... + 32298.

It is an arithmetic number, because the mean of its divisors is an integer number (11754704).

Almost surely, 2422621136 is an apocalyptic number.

422621136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422621136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705282240).

422621136 is an abundant number, since it is smaller than the sum of its proper divisors (987943344).

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

422621136 is a wasteful number, since it uses less digits than its factorization.

422621136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18273 (or 18264 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 422621136 is about 20557.7512388880. The cubic root of 422621136 is about 750.4418942548.

The spelling of 422621136 in words is "four hundred twenty-two million, six hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 5796 7728 11592 18229 23184 36458 54687 72916 109374 127603 145832 164061 218748 255206 291664 328122 382809 419267 437496 510412 656244 765618 838534 874992 1020824 1148427 1257801 1312488 1531236 1677068 2041648 2296854 2515602 2624976 2934869 3062472 3354136 3773403 4593708 5031204 5869738 6124944 6708272 7546806 8804607 9187416 10062408 11739476 15093612 17609214 18374832 20124816 23478952 26413821 30187224 35218428 46957904 52827642 60374448 70436856 105655284 140873712 211310568 422621136