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2114150880 = 253522719403
BaseRepresentation
bin111111000000011…
…0110000111100000
312110100010222210110
41332000312013200
513312210312010
6545441331320
7103250662122
oct17600660740
95410128713
102114150880
11995423936
124b0036b40
13279003b6a
14160ad1212
15c5910120
hex7e0361e0

2114150880 has 96 divisors (see below), whose sum is σ = 6689257344. Its totient is φ = 561261056.

The previous prime is 2114150873. The next prime is 2114150891. The reversal of 2114150880 is 880514112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 99259 + ... + 118661.

It is an arithmetic number, because the mean of its divisors is an integer number (69679764).

Almost surely, 22114150880 is an apocalyptic number.

2114150880 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 2114150880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344628672).

2114150880 is an abundant number, since it is smaller than the sum of its proper divisors (4575106464).

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

2114150880 is a wasteful number, since it uses less digits than its factorization.

2114150880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19648 (or 19640 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 2114150880 is about 45979.8964766125. The cubic root of 2114150880 is about 1283.4491285107.

Adding to 2114150880 its reverse (880514112), we get a palindrome (2994664992).

The spelling of 2114150880 in words is "two billion, one hundred fourteen million, one hundred fifty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 227 240 454 480 681 908 1135 1362 1816 2270 2724 3405 3632 4540 5448 6810 7264 9080 10896 13620 18160 19403 21792 27240 36320 38806 54480 58209 77612 97015 108960 116418 155224 194030 232836 291045 310448 388060 465672 582090 620896 776120 931344 1164180 1552240 1862688 2328360 3104480 4404481 4656720 8808962 9313440 13213443 17617924 22022405 26426886 35235848 44044810 52853772 66067215 70471696 88089620 105707544 132134430 140943392 176179240 211415088 264268860 352358480 422830176 528537720 704716960 1057075440 2114150880