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214250440 = 23547113963
BaseRepresentation
bin11001100010100…
…11001111001000
3112221011001100111
430301103033020
5414322003230
633132044104
75211045565
oct1461231710
9487131314
10214250440
11aaa36588
125b903634
1335506711
142065186c
1513c2192a
hexcc533c8

214250440 has 32 divisors (see below), whose sum is σ = 492324480. Its totient is φ = 83876032.

The previous prime is 214250437. The next prime is 214250447. The reversal of 214250440 is 44052412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (214250447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55102 + ... + 58861.

It is an arithmetic number, because the mean of its divisors is an integer number (15385140).

Almost surely, 2214250440 is an apocalyptic number.

214250440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214250440 is an abundant number, since it is smaller than the sum of its proper divisors (278074040).

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

214250440 is a wasteful number, since it uses less digits than its factorization.

214250440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114021 (or 114017 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 214250440 is about 14637.2961984104. The cubic root of 214250440 is about 598.3756434485.

The spelling of 214250440 in words is "two hundred fourteen million, two hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 113963 227926 455852 569815 911704 1139630 2279260 4558520 5356261 10712522 21425044 26781305 42850088 53562610 107125220 214250440