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2213103000 = 233532413061
BaseRepresentation
bin1000001111101001…
…0100010110011000
312201020100021120210
42003322110112120
514013023244000
61003334251120
7105562031223
oct20372242630
95636307523
102213103000
11a3626a049
125191b6aa0
1329366b704
1416dccc5ba
15ce459350
hex83e94598

2213103000 has 128 divisors (see below), whose sum is σ = 6935797440. Its totient is φ = 587520000.

The previous prime is 2213102999. The next prime is 2213103007. The reversal of 2213103000 is 3013122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213103007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721470 + ... + 724530.

Almost surely, 22213103000 is an apocalyptic number.

2213103000 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 2213103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467898720).

2213103000 is an abundant number, since it is smaller than the sum of its proper divisors (4722694440).

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

2213103000 is a wasteful number, since it uses less digits than its factorization.

2213103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2213103000 is about 47043.6286865714. The cubic root of 2213103000 is about 1303.1684056990.

Adding to 2213103000 its reverse (3013122), we get a palindrome (2216116122).

The spelling of 2213103000 in words is "two billion, two hundred thirteen million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 241 250 300 375 482 500 600 723 750 964 1000 1205 1446 1500 1928 2410 2892 3000 3061 3615 4820 5784 6025 6122 7230 9183 9640 12050 12244 14460 15305 18075 18366 24100 24488 28920 30125 30610 36150 36732 45915 48200 60250 61220 72300 73464 76525 90375 91830 120500 122440 144600 153050 180750 183660 229575 241000 306100 361500 367320 382625 459150 612200 723000 737701 765250 918300 1147875 1475402 1530500 1836600 2213103 2295750 2950804 3061000 3688505 4426206 4591500 5901608 7377010 8852412 9183000 11065515 14754020 17704824 18442525 22131030 29508040 36885050 44262060 55327575 73770100 88524120 92212625 110655150 147540200 184425250 221310300 276637875 368850500 442620600 553275750 737701000 1106551500 2213103000