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422228772 = 2232779127167
BaseRepresentation
bin11001001010101…
…011001100100100
31002102111102222200
4121022223030210
51331042310042
6105521454500
713314612450
oct3112531444
91072442880
10422228772
111a73787a9
12b94a1430
1369625314
144010d660
1527104c4c
hex192ab324

422228772 has 144 divisors (see below), whose sum is σ = 1252392960. Its totient is φ = 117464256.

The previous prime is 422228771. The next prime is 422228789. The reversal of 422228772 is 277822224.

422228772 is a `hidden beast` number, since 422 + 228 + 7 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (422228771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2528233 + ... + 2528399.

Almost surely, 2422228772 is an apocalyptic number.

422228772 is a gapful number since it is divisible by the number (42) 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 422228772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626196480).

422228772 is an abundant number, since it is smaller than the sum of its proper divisors (830164188).

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

422228772 is a wasteful number, since it uses less digits than its factorization.

422228772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 385 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 422228772 is about 20548.2060530841. The cubic root of 422228772 is about 750.2095840939.

The spelling of 422228772 in words is "four hundred twenty-two million, two hundred twenty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 127 158 167 237 252 254 316 334 381 474 501 508 553 668 711 762 889 948 1002 1106 1143 1169 1422 1503 1524 1659 1778 2004 2212 2286 2338 2667 2844 3006 3318 3507 3556 4572 4676 4977 5334 6012 6636 7014 8001 9954 10033 10521 10668 13193 14028 16002 19908 20066 21042 21209 26386 30099 32004 39579 40132 42084 42418 52772 60198 63627 70231 79158 84836 90297 92351 118737 120396 127254 140462 148463 158316 180594 184702 190881 210693 237474 254508 277053 280924 296926 361188 369404 381762 421386 445389 474948 554106 593852 632079 763524 831159 842772 890778 1108212 1264158 1336167 1662318 1675511 1781556 2528316 2672334 3324636 3351022 5026533 5344668 6702044 10053066 11728577 15079599 20106132 23457154 30159198 35185731 46914308 60318396 70371462 105557193 140742924 211114386 422228772