Search a number
-
+
222031200 = 25352711303
BaseRepresentation
bin11010011101111…
…10110101100000
3120110210100112210
431032332311200
5423314444300
634010522120
75334143166
oct1516766540
9513710483
10222031200
11104370366
1262436340
1336ccc111
14216b9236
151475c050
hexd3bed60

222031200 has 144 divisors (see below), whose sum is σ = 733453056. Its totient is φ = 58329600.

The previous prime is 222031189. The next prime is 222031217. The reversal of 222031200 is 2130222.

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

It is a congruent number.

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, 169749 + ... + 171051.

It is an arithmetic number, because the mean of its divisors is an integer number (5093424).

Almost surely, 2222031200 is an apocalyptic number.

222031200 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 222031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366726528).

222031200 is an abundant number, since it is smaller than the sum of its proper divisors (511421856).

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

222031200 is a wasteful number, since it uses less digits than its factorization.

222031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 222031200 is about 14900.7113924135. The cubic root of 222031200 is about 605.5332593174.

Adding to 222031200 its reverse (2130222), we get a palindrome (224161422).

The spelling of 222031200 in words is "two hundred twenty-two million, thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 71 75 80 96 100 120 142 150 160 200 213 240 284 300 355 400 426 480 568 600 710 800 852 1065 1136 1200 1303 1420 1704 1775 2130 2272 2400 2606 2840 3408 3550 3909 4260 5212 5325 5680 6515 6816 7100 7818 8520 10424 10650 11360 13030 14200 15636 17040 19545 20848 21300 26060 28400 31272 32575 34080 39090 41696 42600 52120 56800 62544 65150 78180 85200 92513 97725 104240 125088 130300 156360 170400 185026 195450 208480 260600 277539 312720 370052 390900 462565 521200 555078 625440 740104 781800 925130 1042400 1110156 1387695 1480208 1563600 1850260 2220312 2312825 2775390 2960416 3127200 3700520 4440624 4625650 5550780 6938475 7401040 8881248 9251300 11101560 13876950 14802080 18502600 22203120 27753900 37005200 44406240 55507800 74010400 111015600 222031200