Search a number
-
+
222332240 = 24513713011
BaseRepresentation
bin11010100000010…
…00010101010000
3120111100122111102
431100020111100
5423404112430
634021203532
75336535644
oct1520102520
9514318442
10222332240
11104556559
12625605a8
13370a6150
1421756c24
15147bb345
hexd408550

222332240 has 80 divisors (see below), whose sum is σ = 564713856. Its totient is φ = 80908800.

The previous prime is 222332221. The next prime is 222332261. The reversal of 222332240 is 42233222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72335 + ... + 75345.

Almost surely, 2222332240 is an apocalyptic number.

222332240 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 222332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282356928).

222332240 is an abundant number, since it is smaller than the sum of its proper divisors (342381616).

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

222332240 is a wasteful number, since it uses less digits than its factorization.

222332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 222332240 is about 14910.8095018346. The cubic root of 222332240 is about 605.8068055710.

Adding to 222332240 its reverse (42233222), we get a palindrome (264565462).

The spelling of 222332240 in words is "two hundred twenty-two million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 71 80 104 130 142 208 260 284 355 520 568 710 923 1040 1136 1420 1846 2840 3011 3692 4615 5680 6022 7384 9230 12044 14768 15055 18460 24088 30110 36920 39143 48176 60220 73840 78286 120440 156572 195715 213781 240880 313144 391430 427562 626288 782860 855124 1068905 1565720 1710248 2137810 2779153 3131440 3420496 4275620 5558306 8551240 11116612 13895765 17102480 22233224 27791530 44466448 55583060 111166120 222332240