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22131231200 = 2552135340151
BaseRepresentation
bin10100100111000111…
…111100100111100000
32010010100211000211122
4110213013330213200
5330311043344300
614100021031412
71412301234641
oct244707744740
963110730748
1022131231200
119427559621
124357855568
1321190abca0
1410dd3816c8
15897e01c85
hex5271fc9e0

22131231200 has 144 divisors (see below), whose sum is σ = 59283143136. Its totient is φ = 8017152000.

The previous prime is 22131231127. The next prime is 22131231233. The reversal of 22131231200 is 213213122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531125 + ... + 571275.

It is an arithmetic number, because the mean of its divisors is an integer number (411688494).

Almost surely, 222131231200 is an apocalyptic number.

22131231200 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 22131231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29641571568).

22131231200 is an abundant number, since it is smaller than the sum of its proper divisors (37151911936).

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

22131231200 is a wasteful number, since it uses less digits than its factorization.

22131231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40237 (or 40224 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 22131231200 its reverse (213213122), we get a palindrome (22344444322).

The spelling of 22131231200 in words is "twenty-two billion, one hundred thirty-one million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 53 65 80 100 104 106 130 160 200 208 212 260 265 325 400 416 424 520 530 650 689 800 848 1040 1060 1300 1325 1378 1696 2080 2120 2600 2650 2756 3445 4240 5200 5300 5512 6890 8480 10400 10600 11024 13780 17225 21200 22048 27560 34450 40151 42400 55120 68900 80302 110240 137800 160604 200755 275600 321208 401510 521963 551200 642416 803020 1003775 1043926 1284832 1606040 2007550 2087852 2128003 2609815 3212080 4015100 4175704 4256006 5219630 6424160 8030200 8351408 8512012 10439260 10640015 13049075 16060400 16702816 17024024 20878520 21280030 26098150 27664039 32120800 34048048 41757040 42560060 52196300 53200075 55328078 68096096 83514080 85120120 104392600 106400150 110656156 138320195 170240240 208785200 212800300 221312312 276640390 340480480 417570400 425600600 442624624 553280780 691600975 851201200 885249248 1106561560 1383201950 1702402400 2213123120 2766403900 4426246240 5532807800 11065615600 22131231200