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2230331100 = 2235289103811
BaseRepresentation
bin1000010011110000…
…0010011011011100
312202102202120002120
42010330002123130
514031431043400
61005151422540
7106161334014
oct20474023334
95672676076
102230331100
11a44a66848
12522b24a50
132970c125a
141722d4c44
15d0c0dca0
hex84f026dc

2230331100 has 144 divisors (see below), whose sum is σ = 6597077760. Its totient is φ = 581644800.

The previous prime is 2230331071. The next prime is 2230331179. The reversal of 2230331100 is 11330322.

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 2230331100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2749695 + ... + 2750505.

It is an arithmetic number, because the mean of its divisors is an integer number (45813040).

Almost surely, 22230331100 is an apocalyptic number.

2230331100 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 2230331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298538880).

2230331100 is an abundant number, since it is smaller than the sum of its proper divisors (4366746660).

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

2230331100 is a wasteful number, since it uses less digits than its factorization.

2230331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1013 counting only the distinct ones).

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

The square root of 2230331100 is about 47226.3813985361. The cubic root of 2230331100 is about 1306.5412128213.

Adding to 2230331100 its reverse (11330322), we get a palindrome (2241661422).

The spelling of 2230331100 in words is "two billion, two hundred thirty million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 103 150 178 206 267 300 309 356 412 445 515 534 618 811 890 1030 1068 1236 1335 1545 1622 1780 2060 2225 2433 2575 2670 3090 3244 4055 4450 4866 5150 5340 6180 6675 7725 8110 8900 9167 9732 10300 12165 13350 15450 16220 18334 20275 24330 26700 27501 30900 36668 40550 45835 48660 55002 60825 72179 81100 83533 91670 110004 121650 137505 144358 167066 183340 216537 229175 243300 250599 275010 288716 334132 360895 417665 433074 458350 501198 550020 687525 721790 835330 866148 916700 1002396 1082685 1252995 1375050 1443580 1670660 1804475 2088325 2165370 2505990 2750100 3608950 4176650 4330740 5011980 5413425 6264975 7217900 7434437 8353300 10826850 12529950 14868874 21653700 22303311 25059900 29737748 37172185 44606622 74344370 89213244 111516555 148688740 185860925 223033110 371721850 446066220 557582775 743443700 1115165550 2230331100