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214003044 = 223231233823
BaseRepresentation
bin11001100000101…
…10110101100100
3112220200110222200
430300112311210
5414241044134
633122454500
75205665403
oct1460266544
9486613880
10214003044
11aa887722
125b804430
133544ac28
14205c963a
1513bc3499
hexcc16d64

214003044 has 72 divisors (see below), whose sum is σ = 561480192. Its totient is φ = 68653440.

The previous prime is 214003039. The next prime is 214003051. The reversal of 214003044 is 440300412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

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 23 ways as a sum of consecutive naturals, for example, 259617 + ... + 260439.

It is an arithmetic number, because the mean of its divisors is an integer number (7798336).

Almost surely, 2214003044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214003044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280740096).

214003044 is an abundant number, since it is smaller than the sum of its proper divisors (347477148).

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

214003044 is a wasteful number, since it uses less digits than its factorization.

214003044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 214003044 is about 14628.8428797359. The cubic root of 214003044 is about 598.1452390108.

Adding to 214003044 its reverse (440300412), we get a palindrome (654303456).

The spelling of 214003044 in words is "two hundred fourteen million, three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 233 279 372 466 558 699 823 932 1116 1398 1646 2097 2469 2796 3292 4194 4938 7223 7407 8388 9876 14446 14814 21669 25513 28892 29628 43338 51026 65007 76539 86676 102052 130014 153078 191759 229617 260028 306156 383518 459234 575277 767036 918468 1150554 1725831 2301108 3451662 5944529 6903324 11889058 17833587 23778116 35667174 53500761 71334348 107001522 214003044