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422402544 = 243223891433
BaseRepresentation
bin11001001011010…
…101100111110000
31002102211021100200
4121023111213300
51331113340134
6105525315200
713316235204
oct3113254760
91072737320
10422402544
111a7487313
12b9565b00
1369686445
1440156b04
152713b499
hex192d59f0

422402544 has 120 divisors (see below), whose sum is σ = 1248268320. Its totient is φ = 133072896.

The previous prime is 422402543. The next prime is 422402549. The reversal of 422402544 is 445204224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422402543) 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, 294052 + ... + 295484.

It is an arithmetic number, because the mean of its divisors is an integer number (10402236).

Almost surely, 2422402544 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 422402544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624134160).

422402544 is an abundant number, since it is smaller than the sum of its proper divisors (825865776).

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

422402544 is a wasteful number, since it uses less digits than its factorization.

422402544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 422402544 is about 20552.4340164371. The cubic root of 422402544 is about 750.3124884499.

Adding to 422402544 its reverse (445204224), we get a palindrome (867606768).

The spelling of 422402544 in words is "four hundred twenty-two million, four hundred two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 89 92 138 144 178 184 207 267 276 356 368 414 534 552 712 801 828 1068 1104 1424 1433 1602 1656 2047 2136 2866 3204 3312 4094 4272 4299 5732 6141 6408 8188 8598 11464 12282 12816 12897 16376 17196 18423 22928 24564 25794 32752 32959 34392 36846 49128 51588 65918 68784 73692 98256 98877 103176 127537 131836 147384 197754 206352 255074 263672 294768 296631 382611 395508 510148 527344 593262 765222 791016 1020296 1147833 1186524 1530444 1582032 2040592 2295666 2373048 2933351 3060888 4591332 4746096 5866702 6121776 8800053 9182664 11733404 17600106 18365328 23466808 26400159 35200212 46933616 52800318 70400424 105600636 140800848 211201272 422402544