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222987240 = 233257212641
BaseRepresentation
bin11010100101010…
…00001111101000
3120112120220222200
431102220033220
5424041042430
634043220200
75345234400
oct1522501750
9515526880
10222987240
11104963683
1262817660
1337275318
1421887800
151489a460
hexd4a83e8

222987240 has 144 divisors (see below), whose sum is σ = 843094980. Its totient is φ = 50964480.

The previous prime is 222987203. The next prime is 222987241. The reversal of 222987240 is 42789222.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 179506404 + 43480836 = 13398^2 + 6594^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 222987195 and 222987204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222987241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11320 + ... + 23960.

Almost surely, 2222987240 is an apocalyptic number.

222987240 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 222987240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421547490).

222987240 is an abundant number, since it is smaller than the sum of its proper divisors (620107740).

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

222987240 is a wasteful number, since it uses less digits than its factorization.

222987240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12672 (or 12658 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 222987240 is about 14932.7572805561. The cubic root of 222987240 is about 606.4011329729.

The spelling of 222987240 in words is "two hundred twenty-two million, nine hundred eighty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 12641 17640 25282 37923 50564 63205 75846 88487 101128 113769 126410 151692 176974 189615 227538 252820 265461 303384 353948 379230 442435 455076 505640 530922 568845 619409 707896 758460 796383 884870 910152 1061844 1137690 1238818 1327305 1516920 1592766 1769740 1858227 2123688 2275380 2477636 2654610 3097045 3185532 3539480 3716454 3981915 4550760 4955272 5309220 5574681 6194090 6371064 7432908 7963830 9291135 10618440 11149362 12388180 14865816 15927660 18582270 22298724 24776360 27873405 31855320 37164540 44597448 55746810 74329080 111493620 222987240