Search a number
-
+
23122540000 = 25547165161
BaseRepresentation
bin10101100010001101…
…011111010111100000
32012200110010201212101
4111202031133113200
5334323332240000
614342232140144
71445666230030
oct254215372740
965613121771
1023122540000
11989608659a
124593837654
132246595241
141194ca98c0
15904e67e6a
hex56235f5e0

23122540000 has 120 divisors (see below), whose sum is σ = 65011727088. Its totient is φ = 7927680000.

The previous prime is 23122539971. The next prime is 23122540003. The reversal of 23122540000 is 4522132.

It is a self number, because there is not a number n which added to its sum of digits gives 23122540000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23122540003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57420 + ... + 222580.

Almost surely, 223122540000 is an apocalyptic number.

23122540000 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 23122540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32505863544).

23122540000 is an abundant number, since it is smaller than the sum of its proper divisors (41889187088).

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

23122540000 is an equidigital number, since it uses as much as digits as its factorization.

23122540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165198 (or 165175 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The spelling of 23122540000 in words is "twenty-three billion, one hundred twenty-two million, five hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3500 4000 4375 5000 5600 7000 8750 10000 14000 17500 20000 28000 35000 70000 140000 165161 330322 660644 825805 1156127 1321288 1651610 2312254 2642576 3303220 4129025 4624508 5285152 5780635 6606440 8258050 9249016 11561270 13212880 16516100 18498032 20645125 23122540 26425760 28903175 33032200 36996064 41290250 46245080 57806350 66064400 82580500 92490160 103225625 115612700 132128800 144515875 165161000 184980320 206451250 231225400 289031750 330322000 412902500 462450800 578063500 660644000 722579375 825805000 924901600 1156127000 1445158750 1651610000 2312254000 2890317500 3303220000 4624508000 5780635000 11561270000 23122540000