Search a number
-
+
22122234312000 = 26353921759763
BaseRepresentation
bin1010000011110101110111…
…11010101111010101000000
32220022212100112201202222120
411001322323322233111000
510344422313440441000
6115014451504404240
74442164406026344
oct501727372572500
986285315652876
1022122234312000
117059a945a8689
12259352b616680
13c4616b8b8674
14566a16aa3624
152856b40626a0
hex141ebbeaf540

22122234312000 has 112 divisors (see below), whose sum is σ = 73047617777472. Its totient is φ = 5899262476800.

The previous prime is 22122234311953. The next prime is 22122234312011. The reversal of 22122234312000 is 21343222122.

It is a super-2 number, since 2×221222343120002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460855882 + ... + 460903881.

Almost surely, 222122234312000 is an apocalyptic number.

22122234312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122234312000 is an abundant number, since it is smaller than the sum of its proper divisors (50925383465472).

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

22122234312000 is an equidigital number, since it uses as much as digits as its factorization.

22122234312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921759793 (or 921759773 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22122234312000 its reverse (21343222122), we get a palindrome (22143577534122).

The spelling of 22122234312000 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred thirty-four million, three hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 921759763 1843519526 2765279289 3687039052 4608798815 5530558578 7374078104 9217597630 11061117156 13826396445 14748156208 18435195260 22122234312 23043994075 27652792890 29496312416 36870390520 44244468624 46087988150 55305585780 58992624832 69131982225 73740781040 88488937248 92175976300 110611171560 115219970375 138263964450 147481562080 176977874496 184351952600 221222343120 230439940750 276527928900 294963124160 345659911125 368703905200 442444686240 460879881500 553055857800 691319822250 737407810400 884889372480 921759763000 1106111715600 1382639644500 1474815620800 1843519526000 2212223431200 2765279289000 3687039052000 4424446862400 5530558578000 7374078104000 11061117156000 22122234312000