Search a number
-
+
422363220 = 223531972341
BaseRepresentation
bin11001001011001…
…100000001010100
31002102202021102020
4121023030001110
51331111110340
6105524413140
713316012436
oct3113140124
91072667366
10422363220
111a745a814
12b95471b0
1369671586
1440146656
152712e9d0
hex192cc054

422363220 has 96 divisors (see below), whose sum is σ = 1233878016. Its totient is φ = 107827200.

The previous prime is 422363171. The next prime is 422363239. The reversal of 422363220 is 22363224.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179250 + ... + 181590.

It is an arithmetic number, because the mean of its divisors is an integer number (12852896).

Almost surely, 2422363220 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 422363220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616939008).

422363220 is an abundant number, since it is smaller than the sum of its proper divisors (811514796).

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

422363220 is a wasteful number, since it uses less digits than its factorization.

422363220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 422363220 is about 20551.4773191613. The cubic root of 422363220 is about 750.2892040226.

The spelling of 422363220 in words is "four hundred twenty-two million, three hundred sixty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 97 124 155 186 194 291 310 372 388 465 485 582 620 930 970 1164 1455 1860 1940 2341 2910 3007 4682 5820 6014 7023 9021 9364 11705 12028 14046 15035 18042 23410 28092 30070 35115 36084 45105 46820 60140 70230 72571 90210 140460 145142 180420 217713 227077 290284 362855 435426 454154 681231 725710 870852 908308 1088565 1135385 1362462 1451420 2177130 2270770 2724924 3406155 4354260 4541540 6812310 7039387 13624620 14078774 21118161 28157548 35196935 42236322 70393870 84472644 105590805 140787740 211181610 422363220