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2231013300 = 2235238319417
BaseRepresentation
bin1000010011111010…
…1000111110110100
312202111001012220020
42010332220332310
514032114411200
61005214205140
7106200204645
oct20476507664
95674035806
102231013300
11a4539234a
125231b37b0
1329729c919
141724316cc
15d0ce5ea0
hex84fa8fb4

2231013300 has 72 divisors (see below), whose sum is σ = 6472252416. Its totient is φ = 593352960.

The previous prime is 2231013293. The next prime is 2231013313. The reversal of 2231013300 is 33101322.

It is a super-3 number, since 3×22310133003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2231013300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105192 + ... + 124608.

Almost surely, 22231013300 is an apocalyptic number.

2231013300 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 2231013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236126208).

2231013300 is an abundant number, since it is smaller than the sum of its proper divisors (4241239116).

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

2231013300 is a wasteful number, since it uses less digits than its factorization.

2231013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19817 (or 19810 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2231013300 is about 47233.6035042850. The cubic root of 2231013300 is about 1306.6744115129.

Adding to 2231013300 its reverse (33101322), we get a palindrome (2264114622).

The spelling of 2231013300 in words is "two billion, two hundred thirty-one million, thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 383 766 1149 1532 1915 2298 3830 4596 5745 7660 9575 11490 19150 19417 22980 28725 38300 38834 57450 58251 77668 97085 114900 116502 194170 233004 291255 388340 485425 582510 970850 1165020 1456275 1941700 2912550 5825100 7436711 14873422 22310133 29746844 37183555 44620266 74367110 89240532 111550665 148734220 185917775 223101330 371835550 446202660 557753325 743671100 1115506650 2231013300