Search a number
-
+
2422001233100 = 2252296611263499
BaseRepresentation
bin100011001111101010100…
…001011110110011001100
322120112121102121122221002
4203033222201132303030
5304140224303424400
65052352455555432
7336661306541561
oct43175241366314
98515542548832
102422001233100
1185418a611259
1233149738bb78
13147517066a27
1485322a34868
1543006199ed5
hex233ea85eccc

2422001233100 has 72 divisors (see below), whose sum is σ = 5445204870000. Its totient is φ = 933977721600.

The previous prime is 2422001233049. The next prime is 2422001233151. The reversal of 2422001233100 is 13321002242.

It is an interprime number because it is at equal distance from previous prime (2422001233049) and next prime (2422001233151).

It is a super-2 number, since 2×24220012331002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1285151 + ... + 2548649.

Almost surely, 22422001233100 is an apocalyptic number.

2422001233100 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 2422001233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722602435000).

2422001233100 is an abundant number, since it is smaller than the sum of its proper divisors (3023203636900).

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

2422001233100 is a wasteful number, since it uses less digits than its factorization.

2422001233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264203 (or 1264196 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2422001233100 its reverse (13321002242), we get a palindrome (2435322235342).

The spelling of 2422001233100 in words is "two trillion, four hundred twenty-two billion, one million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 661 725 1322 1450 2644 2900 3305 6610 13220 16525 19169 33050 38338 66100 76676 95845 191690 383380 479225 958450 1263499 1916900 2526998 5053996 6317495 12634990 25269980 31587475 36641471 63174950 73282942 126349900 146565884 183207355 366414710 732829420 835172839 916036775 1670345678 1832073550 3340691356 3664147100 4175864195 8351728390 16703456780 20879320975 24220012331 41758641950 48440024662 83517283900 96880049324 121100061655 242200123310 484400246620 605500308275 1211000616550 2422001233100