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214441144 = 23192361339
BaseRepresentation
bin11001100100000…
…01110010111000
3112221111201221121
430302001302320
5414344104034
633140115024
75212501561
oct1462016270
9487451847
10214441144
11100056895
125b995a74
1335572468
14206a1168
1513c5d1b4
hexcc81cb8

214441144 has 32 divisors (see below), whose sum is σ = 441648000. Its totient is φ = 97159392.

The previous prime is 214441141. The next prime is 214441147. The reversal of 214441144 is 441144412.

It is an interprime number because it is at equal distance from previous prime (214441141) and next prime (214441147).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214441141) 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, 27174 + ... + 34165.

It is an arithmetic number, because the mean of its divisors is an integer number (13801500).

Almost surely, 2214441144 is an apocalyptic number.

It is an amenable number.

214441144 is an abundant number, since it is smaller than the sum of its proper divisors (227206856).

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

214441144 is a wasteful number, since it uses less digits than its factorization.

214441144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61387 (or 61383 counting only the distinct ones).

The product of its digits is 2048, while the sum is 25.

The square root of 214441144 is about 14643.8090673158. The cubic root of 214441144 is about 598.5531285578.

Adding to 214441144 its reverse (441144412), we get a palindrome (655585556).

The spelling of 214441144 in words is "two hundred fourteen million, four hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 19 23 38 46 76 92 152 184 437 874 1748 3496 61339 122678 245356 490712 1165441 1410797 2330882 2821594 4661764 5643188 9323528 11286376 26805143 53610286 107220572 214441144