Search a number
-
+
22989311640 = 23325313204023
BaseRepresentation
bin10101011010010001…
…010000111010011000
32012100011110000220200
4111122101100322120
5334040230433030
614321112422200
71442460632121
oct253221207230
965304400820
1022989311640
11982795a109
1245570a7960
132224ab91a9
141181309048
158e83ecd60
hex55a450e98

22989311640 has 96 divisors (see below), whose sum is σ = 74954337120. Its totient is φ = 6110866944.

The previous prime is 22989311629. The next prime is 22989311663. The reversal of 22989311640 is 4611398922.

22989311640 is a `hidden beast` number, since 2 + 298 + 9 + 311 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 10669 + ... + 214691.

It is an arithmetic number, because the mean of its divisors is an integer number (780774345).

Almost surely, 222989311640 is an apocalyptic number.

22989311640 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 22989311640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37477168560).

22989311640 is an abundant number, since it is smaller than the sum of its proper divisors (51965025480).

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

22989311640 is a wasteful number, since it uses less digits than its factorization.

22989311640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204353 (or 204346 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 22989311640 in words is "twenty-two billion, nine hundred eighty-nine million, three hundred eleven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 313 360 626 939 1252 1565 1878 2504 2817 3130 3756 4695 5634 6260 7512 9390 11268 12520 14085 18780 22536 28170 37560 56340 112680 204023 408046 612069 816092 1020115 1224138 1632184 1836207 2040230 2448276 3060345 3672414 4080460 4896552 6120690 7344828 8160920 9181035 12241380 14689656 18362070 24482760 36724140 63859199 73448280 127718398 191577597 255436796 319295995 383155194 510873592 574732791 638591990 766310388 957887985 1149465582 1277183980 1532620776 1915775970 2298931164 2554367960 2873663955 3831551940 4597862328 5747327910 7663103880 11494655820 22989311640