Search a number
-
+
212990440 = 23513409597
BaseRepresentation
bin11001011000111…
…11100111101000
3112211210000221211
430230133213220
5414011143230
633045042504
75164250245
oct1454374750
9484700854
10212990440
11aa255963
125b3b6434
1335185060
14204045cc
1513a7342a
hexcb1f9e8

212990440 has 32 divisors (see below), whose sum is σ = 516093480. Its totient is φ = 78642432.

The previous prime is 212990383. The next prime is 212990441. The reversal of 212990440 is 44099212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 55086084 + 157904356 = 7422^2 + 12566^2 .

It is not an unprimeable number, because it can be changed into a prime (212990441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204279 + ... + 205318.

Almost surely, 2212990440 is an apocalyptic number.

212990440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212990440 is an abundant number, since it is smaller than the sum of its proper divisors (303103040).

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

212990440 is a wasteful number, since it uses less digits than its factorization.

212990440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409621 (or 409617 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 212990440 is about 14594.1919954481. The cubic root of 212990440 is about 597.2003270750.

The spelling of 212990440 in words is "two hundred twelve million, nine hundred ninety thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 409597 819194 1638388 2047985 3276776 4095970 5324761 8191940 10649522 16383880 21299044 26623805 42598088 53247610 106495220 212990440