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222887940 = 2235112314683
BaseRepresentation
bin11010100100100…
…00000000000100
3120112101212202220
431102100000010
5424024403230
634041132340
75344342032
oct1522200004
9515355686
10222887940
111048a6010
126278a0b0
133723c072
142185d552
151487ad10
hexd490004

222887940 has 96 divisors (see below), whose sum is σ = 710470656. Its totient is φ = 51680640.

The previous prime is 222887933. The next prime is 222887947. The reversal of 222887940 is 49788222.

It is an interprime number because it is at equal distance from previous prime (222887933) and next prime (222887947).

It is a junction number, because it is equal to n+sod(n) for n = 222887892 and 222887901.

It is not an unprimeable number, because it can be changed into a prime (222887947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7839 + ... + 22521.

It is an arithmetic number, because the mean of its divisors is an integer number (7400736).

Almost surely, 2222887940 is an apocalyptic number.

222887940 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 222887940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355235328).

222887940 is an abundant number, since it is smaller than the sum of its proper divisors (487582716).

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

222887940 is a wasteful number, since it uses less digits than its factorization.

222887940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14729 (or 14727 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 222887940 is about 14929.4320052707. The cubic root of 222887940 is about 606.3111060382.

The spelling of 222887940 in words is "two hundred twenty-two million, eight hundred eighty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 14683 15180 29366 44049 58732 73415 88098 146830 161513 176196 220245 293660 323026 337709 440490 484539 646052 675418 807565 880980 969078 1013127 1350836 1615130 1688545 1938156 2026254 2422695 3230260 3377090 3714799 4052508 4845390 5065635 6754180 7429598 9690780 10131270 11144397 14859196 18573995 20262540 22288794 37147990 44577588 55721985 74295980 111443970 222887940