Search a number
-
+
212111144 = 23716072357
BaseRepresentation
bin11001010010010…
…00111100101000
3112210010100210022
430221020330220
5413300024034
633014140012
75153625560
oct1451107450
9483110708
10212111144
11a9805273
125b051608
1334c37a6b
1420255da0
151394cb2e
hexca48f28

212111144 has 32 divisors (see below), whose sum is σ = 454999680. Its totient is φ = 90809664.

The previous prime is 212111111. The next prime is 212111147. The reversal of 212111144 is 441111212.

It is a super-2 number, since 2×2121111442 = 89982274817977472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212111147) 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, 88814 + ... + 91170.

It is an arithmetic number, because the mean of its divisors is an integer number (14218740).

Almost surely, 2212111144 is an apocalyptic number.

It is an amenable number.

212111144 is an abundant number, since it is smaller than the sum of its proper divisors (242888536).

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

212111144 is a wasteful number, since it uses less digits than its factorization.

212111144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977 (or 3973 counting only the distinct ones).

The product of its digits is 64, while the sum is 17.

The square root of 212111144 is about 14564.0359790822. The cubic root of 212111144 is about 596.3773791235.

Adding to 212111144 its reverse (441111212), we get a palindrome (653222356).

The spelling of 212111144 in words is "two hundred twelve million, one hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 1607 2357 3214 4714 6428 9428 11249 12856 16499 18856 22498 32998 44996 65996 89992 131992 3787699 7575398 15150796 26513893 30301592 53027786 106055572 212111144