Search a number
-
+
222222000 = 243537111337
BaseRepresentation
bin11010011111011…
…01011010110000
3120111011001021110
431033231122300
5423342101000
634014553320
75335566360
oct1517553260
9514131243
10222222000
11104490750
1262508840
1337067c10
14217289a0
1514798850
hexd3ed6b0

222222000 has 640 divisors, whose sum is σ = 987936768. Its totient is φ = 41472000.

The previous prime is 222221971. The next prime is 222222029. The reversal of 222222000 is 222222.

It is an interprime number because it is at equal distance from previous prime (222221971) and next prime (222222029).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6005982 + ... + 6006018.

Almost surely, 2222222000 is an apocalyptic number.

222222000 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 222222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493968384).

222222000 is an abundant number, since it is smaller than the sum of its proper divisors (765714768).

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

222222000 is a wasteful number, since it uses less digits than its factorization.

222222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 222222000 is about 14907.1123964368. The cubic root of 222222000 is about 605.7066623750.

Adding to 222222000 its reverse (222222), we get a palindrome (222444222).

222222000 divided by its reverse (222222) gives a cube (1000 = 103).

It can be divided in two parts, 222 and 222000, that added together give a palindrome (222222).

The spelling of 222222000 in words is "two hundred twenty-two million, two hundred twenty-two thousand".