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422331552 = 25324367509
BaseRepresentation
bin11001001011000…
…100010010100000
31002102200122222100
4121023010102200
51331104102202
6105524010400
713315521216
oct3113042240
91072618870
10422331552
111a7438a45
12b9530a00
1369660036
1440138cb6
152712541c
hex192c44a0

422331552 has 144 divisors (see below), whose sum is σ = 1249728480. Its totient is φ = 135184896.

The previous prime is 422331517. The next prime is 422331557. The reversal of 422331552 is 255133224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (422331557) 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, 829474 + ... + 829982.

It is an arithmetic number, because the mean of its divisors is an integer number (8678670).

Almost surely, 2422331552 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 422331552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624864240).

422331552 is an abundant number, since it is smaller than the sum of its proper divisors (827396928).

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

422331552 is a wasteful number, since it uses less digits than its factorization.

422331552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 624 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 422331552 is about 20550.7068491573. The cubic root of 422331552 is about 750.2704517960.

Adding to 422331552 its reverse (255133224), we get a palindrome (677464776).

The spelling of 422331552 in words is "four hundred twenty-two million, three hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 67 72 86 96 129 134 144 172 201 258 268 288 344 387 402 509 516 536 603 688 774 804 1018 1032 1072 1206 1376 1527 1548 1608 2036 2064 2144 2412 2881 3054 3096 3216 4072 4128 4581 4824 5762 6108 6192 6432 8144 8643 9162 9648 11524 12216 12384 16288 17286 18324 19296 21887 23048 24432 25929 34103 34572 36648 43774 46096 48864 51858 65661 68206 69144 73296 87548 92192 102309 103716 131322 136412 138288 146592 175096 196983 204618 207432 262644 272824 276576 306927 350192 393966 409236 414864 525288 545648 613854 700384 787932 818472 829728 1050576 1091296 1227708 1466429 1575864 1636944 2101152 2455416 2932858 3151728 3273888 4399287 4910832 5865716 6303456 8798574 9821664 11731432 13197861 17597148 23462864 26395722 35194296 46925728 52791444 70388592 105582888 140777184 211165776 422331552