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422643564 = 2232729151383
BaseRepresentation
bin11001001100010…
…000011101101100
31002110021111222100
4121030100131230
51331144043224
6105534415100
713321260660
oct3114203554
91073244870
10422643564
111a7631402
12b9661490
136973c065
14401ba8a0
1527187ac9
hex1931076c

422643564 has 144 divisors (see below), whose sum is σ = 1274757120. Its totient is φ = 115516800.

The previous prime is 422643547. The next prime is 422643577. The reversal of 422643564 is 465346224.

422643564 is a `hidden beast` number, since 4 + 2 + 2 + 643 + 5 + 6 + 4 = 666.

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

It is an unprimeable number.

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, 1103317 + ... + 1103699.

It is an arithmetic number, because the mean of its divisors is an integer number (8852480).

Almost surely, 2422643564 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 422643564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637378560).

422643564 is an abundant number, since it is smaller than the sum of its proper divisors (852113556).

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

422643564 is a wasteful number, since it uses less digits than its factorization.

422643564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 575 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 422643564 is about 20558.2967193296. The cubic root of 422643564 is about 750.4551690390.

Adding to 422643564 its reverse (465346224), we get a palindrome (887989788).

The spelling of 422643564 in words is "four hundred twenty-two million, six hundred forty-three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 151 174 203 252 261 302 348 383 406 453 522 604 609 766 812 906 1044 1057 1149 1218 1359 1532 1812 1827 2114 2298 2436 2681 2718 3171 3447 3654 4228 4379 4596 5362 5436 6342 6894 7308 8043 8758 9513 10724 11107 12684 13137 13788 16086 17516 19026 22214 24129 26274 30653 32172 33321 38052 39411 44428 48258 52548 57833 61306 66642 77749 78822 91959 96516 99963 115666 122612 133284 155498 157644 173499 183918 199926 231332 233247 275877 310996 346998 367836 399852 404831 466494 520497 551754 693996 699741 809662 932988 1040994 1103508 1214493 1399482 1619324 1677157 2081988 2428986 2798964 3354314 3643479 4857972 5031471 6708628 7286958 10062942 11740099 14573916 15094413 20125884 23480198 30188826 35220297 46960396 60377652 70440594 105660891 140881188 211321782 422643564