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214023504 = 24331143833
BaseRepresentation
bin11001100000110…
…11110101010000
3112220201112001110
430300123311100
5414242223004
633123133320
75206112142
oct1460336520
9486645043
10214023504
11aa8a1032
125b814240
1335457336
14205d2c92
1513bc9589
hexcc1bd50

214023504 has 40 divisors (see below), whose sum is σ = 570733312. Its totient is φ = 69039360.

The previous prime is 214023497. The next prime is 214023529. The reversal of 214023504 is 405320412.

It is a congruent number.

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, 70429 + ... + 73404.

Almost surely, 2214023504 is an apocalyptic number.

214023504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214023504 is an abundant number, since it is smaller than the sum of its proper divisors (356709808).

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

214023504 is a wasteful number, since it uses less digits than its factorization.

214023504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143875 (or 143869 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 214023504 is about 14629.5421664521. The cubic root of 214023504 is about 598.1643005178.

Adding to 214023504 its reverse (405320412), we get a palindrome (619343916).

The spelling of 214023504 in words is "two hundred fourteen million, twenty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 143833 287666 431499 575332 862998 1150664 1725996 2301328 3451992 4458823 6903984 8917646 13376469 17835292 26752938 35670584 53505876 71341168 107011752 214023504