Search a number
-
+
422322401000 = 23534730729269
BaseRepresentation
bin1100010010101000110…
…00000110111011101000
31111101002101002211111102
412021110120012323220
523404404013313000
6522002350420532
742340354115213
oct6112430067350
91441071084442
10422322401000
11153118a92695
1269a22b01748
1330a95202346
1416624aa877a
15aebb4ad3d5
hex6254606ee8

422322401000 has 128 divisors (see below), whose sum is σ = 1012582771200. Its totient is φ = 164790547200.

The previous prime is 422322400987. The next prime is 422322401003. The reversal of 422322401000 is 104223224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (422322401003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14414366 + ... + 14443634.

It is an arithmetic number, because the mean of its divisors is an integer number (7910802900).

Almost surely, 2422322401000 is an apocalyptic number.

422322401000 is a gapful number since it is divisible by the number (40) 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 422322401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506291385600).

422322401000 is an abundant number, since it is smaller than the sum of its proper divisors (590260370200).

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

422322401000 is a wasteful number, since it uses less digits than its factorization.

422322401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29644 (or 29630 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 422322401000 its reverse (104223224), we get a palindrome (422426624224).

The spelling of 422322401000 in words is "four hundred twenty-two billion, three hundred twenty-two million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 307 376 470 500 614 940 1000 1175 1228 1535 1880 2350 2456 3070 4700 5875 6140 7675 9400 11750 12280 14429 15350 23500 28858 29269 30700 38375 47000 57716 58538 61400 72145 76750 115432 117076 144290 146345 153500 234152 288580 292690 307000 360725 577160 585380 721450 731725 1170760 1375643 1442900 1463450 1803625 2751286 2885800 2926900 3607250 3658625 5502572 5853800 6878215 7214500 7317250 8985583 11005144 13756430 14429000 14634500 17971166 27512860 29269000 34391075 35942332 44927915 55025720 68782150 71884664 89855830 137564300 171955375 179711660 224639575 275128600 343910750 359423320 422322401 449279150 687821500 844644802 898558300 1123197875 1375643000 1689289604 1797116600 2111612005 2246395750 3378579208 4223224010 4492791500 8446448020 8985583000 10558060025 16892896040 21116120050 42232240100 52790300125 84464480200 105580600250 211161200500 422322401000