Search a number
-
+
222997760 = 285832099
BaseRepresentation
bin11010100101010…
…10110100000000
3120112121110102022
431102222310000
5424041412020
634043341012
75345310146
oct1522526400
9515543368
10222997760
11104970577
1262821768
133727a04b
142188b596
151489d625
hexd4aad00

222997760 has 72 divisors (see below), whose sum is σ = 540842400. Its totient is φ = 88082432.

The previous prime is 222997717. The next prime is 222997807. The reversal of 222997760 is 67799222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105191 + ... + 107289.

It is an arithmetic number, because the mean of its divisors is an integer number (7511700).

Almost surely, 2222997760 is an apocalyptic number.

222997760 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 222997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270421200).

222997760 is an abundant number, since it is smaller than the sum of its proper divisors (317844640).

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

222997760 is an equidigital number, since it uses as much as digits as its factorization.

222997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 44.

The square root of 222997760 is about 14933.1095221324. The cubic root of 222997760 is about 606.4106690038.

The spelling of 222997760 in words is "two hundred twenty-two million, nine hundred ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 256 320 332 415 640 664 830 1280 1328 1660 2099 2656 3320 4198 5312 6640 8396 10495 10624 13280 16792 20990 21248 26560 33584 41980 53120 67168 83960 106240 134336 167920 174217 268672 335840 348434 537344 671680 696868 871085 1343360 1393736 1742170 2686720 2787472 3484340 5574944 6968680 11149888 13937360 22299776 27874720 44599552 55749440 111498880 222997760