Search a number
-
+
22031322000 = 2435311033329
BaseRepresentation
bin10100100001001010…
…110100101110010000
32002212101211010011220
4110201022310232100
5330110004301000
614042051405040
71406646101322
oct244112645620
962771733156
1022031322000
11938611a336
12432a2b3780
13210149a90c
1410cddb5612
1588e2691a0
hex5212b4b90

22031322000 has 160 divisors (see below), whose sum is σ = 71114734080. Its totient is φ = 5867929600.

The previous prime is 22031321909. The next prime is 22031322029. The reversal of 22031322000 is 22313022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6616336 + ... + 6619664.

It is an arithmetic number, because the mean of its divisors is an integer number (444467088).

Almost surely, 222031322000 is an apocalyptic number.

22031322000 is a gapful number since it is divisible by the number (20) 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 22031322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35557367040).

22031322000 is an abundant number, since it is smaller than the sum of its proper divisors (49083412080).

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

22031322000 is a wasteful number, since it uses less digits than its factorization.

22031322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4458 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 22031322000 its reverse (22313022), we get a palindrome (22053635022).

The spelling of 22031322000 in words is "twenty-two billion, thirty-one million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1103 1200 1500 2000 2206 3000 3309 3329 4412 5515 6000 6618 6658 8824 9987 11030 13236 13316 16545 16645 17648 19974 22060 26472 26632 27575 33090 33290 39948 44120 49935 52944 53264 55150 66180 66580 79896 82725 83225 88240 99870 110300 132360 133160 137875 159792 165450 166450 199740 220600 249675 264720 266320 275750 330900 332900 399480 413625 416125 441200 499350 551500 661800 665800 798960 827250 832250 998700 1103000 1248375 1323600 1331600 1654500 1664500 1997400 2206000 2496750 3309000 3329000 3671887 3994800 4993500 6618000 6658000 7343774 9987000 11015661 14687548 18359435 19974000 22031322 29375096 36718870 44062644 55078305 58750192 73437740 88125288 91797175 110156610 146875480 176250576 183594350 220313220 275391525 293750960 367188700 440626440 458985875 550783050 734377400 881252880 917971750 1101566100 1376957625 1468754800 1835943500 2203132200 2753915250 3671887000 4406264400 5507830500 7343774000 11015661000 22031322000