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214125240 = 23357254911
BaseRepresentation
bin11001100001101…
…00101010111000
3112220220200121110
430300310222320
5414304001430
633125240320
75210014560
oct1460645270
9486820543
10214125240
11aa96050a
125b8630a0
1335491734
142061bda0
1513be97b0
hexcc34ab8

214125240 has 64 divisors (see below), whose sum is σ = 734146560. Its totient is φ = 48942720.

The previous prime is 214125221. The next prime is 214125259. The reversal of 214125240 is 42521412.

It is an interprime number because it is at equal distance from previous prime (214125221) and next prime (214125259).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126616 + ... + 128295.

It is an arithmetic number, because the mean of its divisors is an integer number (11471040).

Almost surely, 2214125240 is an apocalyptic number.

214125240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214125240 is an abundant number, since it is smaller than the sum of its proper divisors (520021320).

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

214125240 is a wasteful number, since it uses less digits than its factorization.

214125240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254932 (or 254928 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 214125240 is about 14633.0188272960. The cubic root of 214125240 is about 598.2590645698.

Adding to 214125240 its reverse (42521412), we get a palindrome (256646652).

The spelling of 214125240 in words is "two hundred fourteen million, one hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 254911 509822 764733 1019644 1274555 1529466 1784377 2039288 2549110 3058932 3568754 3823665 5098220 5353131 6117864 7137508 7647330 8921885 10196440 10706262 14275016 15294660 17843770 21412524 26765655 30589320 35687540 42825048 53531310 71375080 107062620 214125240