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214740288 = 2633741433
BaseRepresentation
bin11001100110010…
…10110101000000
3112222001221022000
430303022311000
5414433142123
633150344000
75215155660
oct1463126500
9488057260
10214740288
11100240614
125babb000
1335648679
142073c1a0
1513cbbb43
hexcccad40

214740288 has 224 divisors, whose sum is σ = 740785920. Its totient is φ = 59719680.

The previous prime is 214740287. The next prime is 214740301. The reversal of 214740288 is 882047412.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2147402882 = 92226782580645888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214740287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495720 + ... + 496152.

It is an arithmetic number, because the mean of its divisors is an integer number (3307080).

Almost surely, 2214740288 is an apocalyptic number.

214740288 is a gapful number since it is divisible by the number (28) 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 214740288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370392960).

214740288 is an abundant number, since it is smaller than the sum of its proper divisors (526045632).

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

214740288 is a wasteful number, since it uses less digits than its factorization.

214740288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 214740288 is about 14654.0195168425. The cubic root of 214740288 is about 598.8313251431.

The spelling of 214740288 in words is "two hundred fourteen million, seven hundred forty thousand, two hundred eighty-eight".