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214412256 = 25322332369
BaseRepresentation
bin11001100011110…
…10101111100000
3112221110021022200
430301322233200
5414342143011
633135333200
75212321422
oct1461725740
9487407280
10214412256
11100037113
125b981200
1335562276
1420694812
1513c54856
hexcc7abe0

214412256 has 72 divisors (see below), whose sum is σ = 636264720. Its totient is φ = 68361216.

The previous prime is 214412251. The next prime is 214412267. The reversal of 214412256 is 652214412.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214412251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9561 + ... + 22808.

It is an arithmetic number, because the mean of its divisors is an integer number (8837010).

Almost surely, 2214412256 is an apocalyptic number.

It is an amenable number.

214412256 is an abundant number, since it is smaller than the sum of its proper divisors (421852464).

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

214412256 is a wasteful number, since it uses less digits than its factorization.

214412256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32408 (or 32397 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 214412256 is about 14642.8226787051. The cubic root of 214412256 is about 598.5262497307.

Adding to 214412256 its reverse (652214412), we get a palindrome (866626668).

It can be divided in two parts, 2144 and 12256, that added together give a square (14400 = 1202).

The spelling of 214412256 in words is "two hundred fourteen million, four hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 32369 64738 97107 129476 194214 258952 291321 388428 517904 582642 744487 776856 1035808 1165284 1488974 1553712 2233461 2330568 2977948 3107424 4466922 4661136 5955896 6700383 8933844 9322272 11911792 13400766 17867688 23823584 26801532 35735376 53603064 71470752 107206128 214412256