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214554006 = 232291392957
BaseRepresentation
bin11001100100111…
…01010110010110
3112221201110202200
430302131112112
5414411212011
633142345330
75213451612
oct1462352626
9487643680
10214554006
11100123667
125ba2b246
13355b1944
14206d0342
1513c81856
hexcc9d596

214554006 has 48 divisors (see below), whose sum is σ = 484520400. Its totient is φ = 68531904.

The previous prime is 214553953. The next prime is 214554029. The reversal of 214554006 is 600455412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71080 + ... + 74036.

It is an arithmetic number, because the mean of its divisors is an integer number (10094175).

Almost surely, 2214554006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214554006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242260200).

214554006 is an abundant number, since it is smaller than the sum of its proper divisors (269966394).

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

214554006 is a wasteful number, since it uses less digits than its factorization.

214554006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 214554006 is about 14647.6621342793. The cubic root of 214554006 is about 598.6581178243.

The spelling of 214554006 in words is "two hundred fourteen million, five hundred fifty-four thousand, six".

Divisors: 1 2 3 6 9 18 29 58 87 139 174 261 278 417 522 834 1251 2502 2957 4031 5914 8062 8871 12093 17742 24186 26613 36279 53226 72558 85753 171506 257259 411023 514518 771777 822046 1233069 1543554 2466138 3699207 7398414 11919667 23839334 35759001 71518002 107277003 214554006