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214411440 = 2435893381
BaseRepresentation
bin11001100011110…
…10100010110000
3112221110020012110
430301322202300
5414342131230
633135325320
75212316145
oct1461724260
9487406173
10214411440
11100036541
125b980840
1335561a99
14206943cc
1513c544b0
hexcc7a8b0

214411440 has 40 divisors (see below), whose sum is σ = 664676208. Its totient is φ = 57176320.

The previous prime is 214411403. The next prime is 214411481. The reversal of 214411440 is 44114412.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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, 446451 + ... + 446930.

Almost surely, 2214411440 is an apocalyptic number.

214411440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214411440 is an abundant number, since it is smaller than the sum of its proper divisors (450264768).

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

214411440 is a wasteful number, since it uses less digits than its factorization.

214411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893397 (or 893391 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 214411440 is about 14642.7948151984. The cubic root of 214411440 is about 598.5254904488.

Adding to 214411440 its reverse (44114412), we get a palindrome (258525852).

The spelling of 214411440 in words is "two hundred fourteen million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 893381 1786762 2680143 3573524 4466905 5360286 7147048 8933810 10720572 13400715 14294096 17867620 21441144 26801430 35735240 42882288 53602860 71470480 107205720 214411440