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2154234120 = 233523377047
BaseRepresentation
bin1000000001100111…
…0000000100001000
312120010120102122220
42000121300010020
513402440442440
6553432414040
7104245454643
oct20031600410
95503512586
102154234120
11a06010a85
12501547320
132843c955c
14166166a5a
15c91cb8d0
hex80670108

2154234120 has 64 divisors (see below), whose sum is σ = 6490523520. Its totient is φ = 571989504.

The previous prime is 2154234097. The next prime is 2154234127. The reversal of 2154234120 is 214324512.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2154234127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10564 + ... + 66483.

It is an arithmetic number, because the mean of its divisors is an integer number (101414430).

Almost surely, 22154234120 is an apocalyptic number.

2154234120 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 2154234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245261760).

2154234120 is an abundant number, since it is smaller than the sum of its proper divisors (4336289400).

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

2154234120 is a wasteful number, since it uses less digits than its factorization.

2154234120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77294 (or 77290 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2154234120 is about 46413.7277106677. The cubic root of 2154234120 is about 1291.5095842460.

Adding to 2154234120 its reverse (214324512), we get a palindrome (2368558632).

The spelling of 2154234120 in words is "two billion, one hundred fifty-four million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 233 466 699 932 1165 1398 1864 2330 2796 3495 4660 5592 6990 9320 13980 27960 77047 154094 231141 308188 385235 462282 616376 770470 924564 1155705 1540940 1849128 2311410 3081880 4622820 9245640 17951951 35903902 53855853 71807804 89759755 107711706 143615608 179519510 215423412 269279265 359039020 430846824 538558530 718078040 1077117060 2154234120