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214255104 = 293719927
BaseRepresentation
bin11001100010101…
…00011000000000
3112221011021202020
430301110120000
5414322130404
633132121440
75211065310
oct1461243000
9487137666
10214255104
11aaa3a038
125b906280
133550888b
1420653440
1513c22ed9
hexcc54600

214255104 has 80 divisors (see below), whose sum is σ = 652363008. Its totient is φ = 61212672.

The previous prime is 214255099. The next prime is 214255133. The reversal of 214255104 is 401552412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 789 + ... + 20715.

Almost surely, 2214255104 is an apocalyptic number.

214255104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214255104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326181504).

214255104 is an abundant number, since it is smaller than the sum of its proper divisors (438107904).

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

214255104 is an equidigital number, since it uses as much as digits as its factorization.

214255104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19955 (or 19939 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 214255104 is about 14637.4555165848. The cubic root of 214255104 is about 598.3799854135.

The spelling of 214255104 in words is "two hundred fourteen million, two hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 19927 39854 59781 79708 119562 139489 159416 239124 278978 318832 418467 478248 557956 637664 836934 956496 1115912 1275328 1673868 1912992 2231824 2550656 3347736 3825984 4463648 5101312 6695472 7651968 8927296 10202624 13390944 15303936 17854592 26781888 30607872 35709184 53563776 71418368 107127552 214255104