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2422530100 = 2252413791559
BaseRepresentation
bin1001000001100100…
…1110000000110100
320020211102021120001
42100121032000310
514430131430400
61040215121044
7114014110654
oct22031160064
96224367501
102422530100
1110335007a1
12577373184
132c7b76883
1418da46364
15e2a26a6a
hex9064e034

2422530100 has 72 divisors (see below), whose sum is σ = 5402779200. Its totient is φ = 942278400.

The previous prime is 2422530067. The next prime is 2422530113. The reversal of 2422530100 is 10352242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1553121 + ... + 1554679.

It is an arithmetic number, because the mean of its divisors is an integer number (75038600).

Almost surely, 22422530100 is an apocalyptic number.

2422530100 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 2422530100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701389600).

2422530100 is an abundant number, since it is smaller than the sum of its proper divisors (2980249100).

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

2422530100 is a wasteful number, since it uses less digits than its factorization.

2422530100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1986 counting only the distinct ones).

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

The square root of 2422530100 is about 49219.2045852023. The cubic root of 2422530100 is about 1343.0424113843.

Adding to 2422530100 its reverse (10352242), we get a palindrome (2432882342).

The spelling of 2422530100 in words is "two billion, four hundred twenty-two million, five hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 379 410 758 820 1025 1516 1559 1895 2050 3118 3790 4100 6236 7580 7795 9475 15539 15590 18950 31078 31180 37900 38975 62156 63919 77695 77950 127838 155390 155900 255676 310780 319595 388475 590861 639190 776950 1181722 1278380 1553900 1597975 2363444 2954305 3195950 5908610 6391900 11817220 14771525 24225301 29543050 48450602 59086100 96901204 121126505 242253010 484506020 605632525 1211265050 2422530100