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22140003300 = 223524710311523
BaseRepresentation
bin10100100111101001…
…011010001111100100
32010010222022200220020
4110213221122033210
5330320320101200
614100533035140
71412435631402
oct244751321744
963128280806
1022140003300
119431500198
12435a785ab0
13211ab6098c
1411005c6472
15898a85ea0
hex527a5a3e4

22140003300 has 144 divisors (see below), whose sum is σ = 65527805952. Its totient is φ = 5768988800.

The previous prime is 22140003293. The next prime is 22140003307. The reversal of 22140003300 is 330004122.

It is an interprime number because it is at equal distance from previous prime (22140003293) and next prime (22140003307).

It is a super-2 number, since 2×221400033002 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22140003300.

It is not an unprimeable number, because it can be changed into a prime (22140003307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14536339 + ... + 14537861.

It is an arithmetic number, because the mean of its divisors is an integer number (455054208).

Almost surely, 222140003300 is an apocalyptic number.

22140003300 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 22140003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32763902976).

22140003300 is an abundant number, since it is smaller than the sum of its proper divisors (43387802652).

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

22140003300 is a wasteful number, since it uses less digits than its factorization.

22140003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2611 counting only the distinct ones).

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

Adding to 22140003300 its reverse (330004122), we get a palindrome (22470007422).

The spelling of 22140003300 in words is "twenty-two billion, one hundred forty million, three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1031 1175 1410 1523 2062 2350 2820 3046 3093 3525 4124 4569 4700 5155 6092 6186 7050 7615 9138 10310 12372 14100 15230 15465 18276 20620 22845 25775 30460 30930 38075 45690 48457 51550 61860 71581 76150 77325 91380 96914 103100 114225 143162 145371 152300 154650 193828 214743 228450 242285 286324 290742 309300 357905 429486 456900 484570 581484 715810 726855 858972 969140 1073715 1211425 1431620 1453710 1570213 1789525 2147430 2422850 2907420 3140426 3579050 3634275 4294860 4710639 4845700 5368575 6280852 7158100 7268550 7851065 9421278 10737150 14537100 15702130 18842556 21474300 23553195 31404260 39255325 47106390 73800011 78510650 94212780 117765975 147600022 157021300 221400033 235531950 295200044 369000055 442800066 471063900 738000110 885600132 1107000165 1476000220 1845000275 2214000330 3690000550 4428000660 5535000825 7380001100 11070001650 22140003300