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222072240 = 243513109653
BaseRepresentation
bin11010011110010…
…00110110110000
3120110212102211210
431033020312300
5423322302430
634011440120
75334403635
oct1517106660
9513772753
10222072240
11104399185
1262456040
13370149c0
14216ca18c
15147692b0
hexd3c8db0

222072240 has 160 divisors (see below), whose sum is σ = 749327040. Its totient is φ = 54079488.

The previous prime is 222072211. The next prime is 222072287. The reversal of 222072240 is 42270222.

222072240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339754 + ... + 340406.

It is an arithmetic number, because the mean of its divisors is an integer number (4683294).

Almost surely, 2222072240 is an apocalyptic number.

222072240 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 222072240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374663520).

222072240 is an abundant number, since it is smaller than the sum of its proper divisors (527254800).

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

222072240 is a wasteful number, since it uses less digits than its factorization.

222072240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 222072240 is about 14902.0884442416. The cubic root of 222072240 is about 605.5705657170.

The spelling of 222072240 in words is "two hundred twenty-two million, seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 109 120 130 156 195 208 218 240 260 312 327 390 436 520 545 624 653 654 780 872 1040 1090 1306 1308 1417 1560 1635 1744 1959 2180 2612 2616 2834 3120 3265 3270 3918 4251 4360 5224 5232 5668 6530 6540 7085 7836 8489 8502 8720 9795 10448 11336 13060 13080 14170 15672 16978 17004 19590 21255 22672 25467 26120 26160 28340 31344 33956 34008 39180 42445 42510 50934 52240 56680 67912 68016 71177 78360 84890 85020 101868 113360 127335 135824 142354 156720 169780 170040 203736 213531 254670 284708 339560 340080 355885 407472 427062 509340 569416 679120 711770 854124 925301 1018680 1067655 1138832 1423540 1708248 1850602 2037360 2135310 2775903 2847080 3416496 3701204 4270620 4626505 5551806 5694160 7402408 8541240 9253010 11103612 13879515 14804816 17082480 18506020 22207224 27759030 37012040 44414448 55518060 74024080 111036120 222072240