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222007040 = 285237541
BaseRepresentation
bin11010011101110…
…00111100000000
3120110202010101222
431032320330000
5423313211130
634010214212
75334012563
oct1516707400
9513663358
10222007040
111043541a2
1262424368
1336cc1118
14216b04da
1514754ce5
hexd3b8f00

222007040 has 72 divisors (see below), whose sum is σ = 554970528. Its totient is φ = 84930560.

The previous prime is 222007033. The next prime is 222007057. The reversal of 222007040 is 40700222.

222007040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 25670 + ... + 33210.

It is an arithmetic number, because the mean of its divisors is an integer number (7707924).

Almost surely, 2222007040 is an apocalyptic number.

222007040 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 222007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277485264).

222007040 is an abundant number, since it is smaller than the sum of its proper divisors (332963488).

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

222007040 is an equidigital number, since it uses as much as digits as its factorization.

222007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7585 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 222007040 is about 14899.9006708099. The cubic root of 222007040 is about 605.5112951157.

Adding to 222007040 its reverse (40700222), we get a palindrome (262707262).

The spelling of 222007040 in words is "two hundred twenty-two million, seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 640 736 920 1280 1472 1840 2944 3680 5888 7360 7541 14720 15082 29440 30164 37705 60328 75410 120656 150820 173443 241312 301640 346886 482624 603280 693772 867215 965248 1206560 1387544 1734430 1930496 2413120 2775088 3468860 4826240 5550176 6937720 9652480 11100352 13875440 22200704 27750880 44401408 55501760 111003520 222007040