Search a number
-
+
22137430120 = 23513415917599
BaseRepresentation
bin10100100111011111…
…100110000001101000
32010010210110222011021
4110213133212001220
5330314140230440
614100401542224
71412405023411
oct244737460150
963123428137
1022137430120
1194300029a3
124359944974
13211a46c6a0
141100116808
1589872884a
hex5277e6068

22137430120 has 128 divisors (see below), whose sum is σ = 55883520000. Its totient is φ = 7838853120.

The previous prime is 22137430109. The next prime is 22137430121. The reversal of 22137430120 is 2103473122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22137430121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1249081 + ... + 1266679.

It is an arithmetic number, because the mean of its divisors is an integer number (436590000).

Almost surely, 222137430120 is an apocalyptic number.

22137430120 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 22137430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27941760000).

22137430120 is an abundant number, since it is smaller than the sum of its proper divisors (33746089880).

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

22137430120 is a wasteful number, since it uses less digits than its factorization.

22137430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17723 (or 17719 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The spelling of 22137430120 in words is "twenty-two billion, one hundred thirty-seven million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 59 65 82 104 118 130 164 205 236 260 295 328 410 472 520 533 590 767 820 1066 1180 1534 1640 2132 2360 2419 2665 3068 3835 4264 4838 5330 6136 7670 9676 10660 12095 15340 17599 19352 21320 24190 30680 31447 35198 48380 62894 70396 87995 96760 125788 140792 157235 175990 228787 251576 314470 351980 457574 628940 703960 721559 915148 1038341 1143935 1257880 1443118 1830296 2076682 2287870 2886236 3607795 4153364 4575740 5191705 5772472 7215590 8306728 9151480 9380267 10383410 13498433 14431180 18760534 20766820 26996866 28862360 37521068 41533640 42571981 46901335 53993732 67492165 75042136 85143962 93802670 107987464 134984330 170287924 187605340 212859905 269968660 340575848 375210680 425719810 539937320 553435753 851439620 1106871506 1702879240 2213743012 2767178765 4427486024 5534357530 11068715060 22137430120