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422088192 = 2933191607
BaseRepresentation
bin11001001010001…
…000111000000000
31002102020022011000
4121022020320000
51331023310232
6105514452000
713313455551
oct3112107000
91072208130
10422088192
111a7292119
12b9434000
13695a6336
14400b4328
15270c827c
hex19288e00

422088192 has 160 divisors (see below), whose sum is σ = 1315987200. Its totient is φ = 133208064.

The previous prime is 422088187. The next prime is 422088197. The reversal of 422088192 is 291880224.

It is an interprime number because it is at equal distance from previous prime (422088187) and next prime (422088197).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422088197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261853 + ... + 263459.

It is an arithmetic number, because the mean of its divisors is an integer number (8224920).

Almost surely, 2422088192 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 422088192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657993600).

422088192 is an abundant number, since it is smaller than the sum of its proper divisors (893899008).

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

422088192 is a wasteful number, since it uses less digits than its factorization.

422088192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 422088192 is about 20544.7850317301. The cubic root of 422088192 is about 750.1263147249.

The spelling of 422088192 in words is "four hundred twenty-two million, eighty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 512 513 576 608 684 768 864 912 1026 1152 1216 1368 1536 1607 1728 1824 2052 2304 2432 2736 3214 3456 3648 4104 4608 4821 4864 5472 6428 6912 7296 8208 9642 9728 10944 12856 13824 14463 14592 16416 19284 21888 25712 28926 29184 30533 32832 38568 43389 43776 51424 57852 61066 65664 77136 86778 87552 91599 102848 115704 122132 131328 154272 173556 183198 205696 231408 244264 262656 274797 308544 347112 366396 411392 462816 488528 549594 617088 694224 732792 822784 824391 925632 977056 1099188 1234176 1388448 1465584 1648782 1851264 1954112 2198376 2468352 2776896 2931168 3297564 3702528 3908224 4396752 5553792 5862336 6595128 7405056 7816448 8793504 11107584 11724672 13190256 15632896 17587008 22215168 23449344 26380512 35174016 46898688 52761024 70348032 105522048 140696064 211044096 422088192