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214447240 = 23571017583
BaseRepresentation
bin11001100100000…
…11010010001000
3112221112001022101
430302003102020
5414344302430
633140203144
75212525420
oct1462032210
9487461271
10214447240
11100060427
125b9994b4
1335575177
14206a3480
1513c5edca
hexcc83488

214447240 has 64 divisors (see below), whose sum is σ = 556968960. Its totient is φ = 72787200.

The previous prime is 214447237. The next prime is 214447249. The reversal of 214447240 is 42744412.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 214447199 and 214447208.

It is not an unprimeable number, because it can be changed into a prime (214447249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24489 + ... + 32071.

It is an arithmetic number, because the mean of its divisors is an integer number (8702640).

Almost surely, 2214447240 is an apocalyptic number.

214447240 is a gapful number since it is divisible by the number (20) 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 214447240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278484480).

214447240 is an abundant number, since it is smaller than the sum of its proper divisors (342521720).

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

214447240 is a wasteful number, since it uses less digits than its factorization.

214447240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7702 (or 7698 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

The square root of 214447240 is about 14644.0172084029. The cubic root of 214447240 is about 598.5588002699.

The spelling of 214447240 in words is "two hundred fourteen million, four hundred forty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 404 505 707 808 1010 1414 2020 2828 3535 4040 5656 7070 7583 14140 15166 28280 30332 37915 53081 60664 75830 106162 151660 212324 265405 303320 424648 530810 765883 1061620 1531766 2123240 3063532 3829415 5361181 6127064 7658830 10722362 15317660 21444724 26805905 30635320 42889448 53611810 107223620 214447240