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422022144 = 2103178081
BaseRepresentation
bin11001001001111…
…000110000000000
31002102002221112210
4121021320300000
51331014202034
6105513222120
713313062155
oct3111706000
91072087483
10422022144
111a7247535
12b9401940
136958225b
144009822c
15270b38e9
hex19278c00

422022144 has 88 divisors (see below), whose sum is σ = 1191157488. Its totient is φ = 132382720.

The previous prime is 422022121. The next prime is 422022157. The reversal of 422022144 is 441220224.

It is a self number, because there is not a number n which added to its sum of digits gives 422022144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48184 + ... + 56264.

Almost surely, 2422022144 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 422022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595578744).

422022144 is an abundant number, since it is smaller than the sum of its proper divisors (769135344).

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

422022144 is a wasteful number, since it uses less digits than its factorization.

422022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8121 (or 8103 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 422022144 is about 20543.1775536308. The cubic root of 422022144 is about 750.0871863088.

Adding to 422022144 its reverse (441220224), we get a palindrome (863242368).

The spelling of 422022144 in words is "four hundred twenty-two million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2176 3072 3264 4352 6528 8081 8704 13056 16162 17408 24243 26112 32324 48486 52224 64648 96972 129296 137377 193944 258592 274754 387888 412131 517184 549508 775776 824262 1034368 1099016 1551552 1648524 2068736 2198032 3103104 3297048 4137472 4396064 6206208 6594096 8274944 8792128 12412416 13188192 17584256 24824832 26376384 35168512 52752768 70337024 105505536 140674048 211011072 422022144