Search a number
-
+
222307680 = 25357109607
BaseRepresentation
bin11010100000000…
…10010101100000
3120111022101210210
431100002111200
5423402321210
634020454120
75336404230
oct1520022540
9514271723
10222307680
1110453a061
126254a340
1337097c0a
142174bcc0
15147b3e20
hexd402560

222307680 has 192 divisors, whose sum is σ = 808980480. Its totient is φ = 50264064.

The previous prime is 222307669. The next prime is 222307711. The reversal of 222307680 is 86703222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365937 + ... + 366543.

It is an arithmetic number, because the mean of its divisors is an integer number (4213440).

Almost surely, 2222307680 is an apocalyptic number.

222307680 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 222307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404490240).

222307680 is an abundant number, since it is smaller than the sum of its proper divisors (586672800).

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

222307680 is a wasteful number, since it uses less digits than its factorization.

222307680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 222307680 is about 14909.9859154863. The cubic root of 222307680 is about 605.7844978705.

The spelling of 222307680 in words is "two hundred twenty-two million, three hundred seven thousand, six hundred eighty".