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2231213100 = 2235226328279
BaseRepresentation
bin1000010011111101…
…1001110000101100
312202111102100222020
42010333121300230
514032142304400
61005222350140
7106201666314
oct20477316054
95674370866
102231213100
11a45509476
1252328b350
1329733c84c
14172484444
15d0d352a0
hex84fd9c2c

2231213100 has 72 divisors (see below), whose sum is σ = 6480418560. Its totient is φ = 592706880.

The previous prime is 2231213087. The next prime is 2231213143. The reversal of 2231213100 is 13121322.

2231213100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22312131003 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 2231213100.

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, 64761 + ... + 93039.

Almost surely, 22231213100 is an apocalyptic number.

2231213100 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 2231213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240209280).

2231213100 is an abundant number, since it is smaller than the sum of its proper divisors (4249205460).

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

2231213100 is a wasteful number, since it uses less digits than its factorization.

2231213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28559 (or 28552 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2231213100 is about 47235.7184765935. The cubic root of 2231213100 is about 1306.7134170707.

Adding to 2231213100 its reverse (13121322), we get a palindrome (2244334422).

The spelling of 2231213100 in words is "two billion, two hundred thirty-one million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 263 300 526 789 1052 1315 1578 2630 3156 3945 5260 6575 7890 13150 15780 19725 26300 28279 39450 56558 78900 84837 113116 141395 169674 282790 339348 424185 565580 706975 848370 1413950 1696740 2120925 2827900 4241850 7437377 8483700 14874754 22312131 29749508 37186885 44624262 74373770 89248524 111560655 148747540 185934425 223121310 371868850 446242620 557803275 743737700 1115606550 2231213100