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214280448 = 283594729
BaseRepresentation
bin11001100010110…
…10100100000000
3112221012120111220
430301122210000
5414323433243
633132435040
75211232224
oct1461324400
9487176456
10214280448
11aaa57088
125b918a80
1335517285
142065c784
1513c2a783
hexcc5a900

214280448 has 72 divisors (see below), whose sum is σ = 580087200. Its totient is φ = 70201344.

The previous prime is 214280419. The next prime is 214280459. The reversal of 214280448 is 844082412.

It is a super-2 number, since 2×2142804482 = 91832220790161408, which contains 22 as substring.

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, 42948 + ... + 47676.

Almost surely, 2214280448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214280448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290043600).

214280448 is an abundant number, since it is smaller than the sum of its proper divisors (365806752).

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

214280448 is an equidigital number, since it uses as much as digits as its factorization.

214280448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4807 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 214280448 is about 14638.3212152214. The cubic root of 214280448 is about 598.4035783861.

The spelling of 214280448 in words is "two hundred fourteen million, two hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 708 768 944 1416 1888 2832 3776 4729 5664 7552 9458 11328 14187 15104 18916 22656 28374 37832 45312 56748 75664 113496 151328 226992 279011 302656 453984 558022 605312 837033 907968 1116044 1210624 1674066 1815936 2232088 3348132 3631872 4464176 6696264 8928352 13392528 17856704 26785056 35713408 53570112 71426816 107140224 214280448