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214984044 = 22351120107
BaseRepresentation
bin11001101000001…
…10010101101100
3112222112022200000
430310012111230
5420013442134
633155504300
75220222432
oct1464062554
9488468600
10214984044
11100397770
125bbb8090
13357025c2
14207a2d52
1513d18e99
hexcd0656c

214984044 has 72 divisors (see below), whose sum is σ = 614822208. Its totient is φ = 65143440.

The previous prime is 214984019. The next prime is 214984103. The reversal of 214984044 is 440489412.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 639 + ... + 20745.

Almost surely, 2214984044 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 214984044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307411104).

214984044 is an abundant number, since it is smaller than the sum of its proper divisors (399838164).

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

214984044 is a wasteful number, since it uses less digits than its factorization.

214984044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20137 (or 20123 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 214984044 is about 14662.3341934359. The cubic root of 214984044 is about 599.0578212732.

The spelling of 214984044 in words is "two hundred fourteen million, nine hundred eighty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 5346 10692 20107 40214 60321 80428 120642 180963 221177 241284 361926 442354 542889 663531 723852 884708 1085778 1327062 1628667 1990593 2171556 2654124 3257334 3981186 4886001 5971779 6514668 7962372 9772002 11943558 17915337 19544004 23887116 35830674 53746011 71661348 107492022 214984044