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22000210240 = 2652325111909
BaseRepresentation
bin10100011111010100…
…001001000101000000
32002210020021110212111
4110133110021011000
5330024023211430
614035020505104
71406120462431
oct243724110500
962706243774
1022000210240
11936a5aa638
12431b9ab194
1320c7bc68a8
1410c9bd7488
1588b670c2a
hex51f509140

22000210240 has 112 divisors (see below), whose sum is σ = 54888140160. Its totient is φ = 8383232000.

The previous prime is 22000210157. The next prime is 22000210261. The reversal of 22000210240 is 4201200022.

It is a self number, because there is not a number n which added to its sum of digits gives 22000210240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1841406 + ... + 1853314.

It is an arithmetic number, because the mean of its divisors is an integer number (490072680).

Almost surely, 222000210240 is an apocalyptic number.

22000210240 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 22000210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27444070080).

22000210240 is an abundant number, since it is smaller than the sum of its proper divisors (32887929920).

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

22000210240 is a wasteful number, since it uses less digits than its factorization.

22000210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12200 (or 12190 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 22000210240 its reverse (4201200022), we get a palindrome (26201410262).

The spelling of 22000210240 in words is "twenty-two billion, two hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 251 320 368 460 502 736 920 1004 1255 1472 1840 2008 2510 3680 4016 5020 5773 7360 8032 10040 11546 11909 16064 20080 23092 23818 28865 40160 46184 47636 57730 59545 80320 92368 95272 115460 119090 184736 190544 230920 238180 273907 369472 381088 461840 476360 547814 762176 923680 952720 1095628 1369535 1847360 1905440 2191256 2739070 2989159 3810880 4382512 5478140 5978318 8765024 10956280 11956636 14945795 17530048 21912560 23913272 29891590 43825120 47826544 59783180 68750657 87650240 95653088 119566360 137501314 191306176 239132720 275002628 343753285 478265440 550005256 687506570 956530880 1100010512 1375013140 2200021024 2750026280 4400042048 5500052560 11000105120 22000210240