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214445220 = 2235111013217
BaseRepresentation
bin11001100100000…
…10110010100100
3112221111221112120
430302002302210
5414344221340
633140145540
75212516503
oct1462026244
9487457476
10214445220
11100059960
125b9982b0
1335574282
14206a283a
1513c5e4d0
hexcc82ca4

214445220 has 96 divisors (see below), whose sum is σ = 661723776. Its totient is φ = 51456000.

The previous prime is 214445219. The next prime is 214445239. The reversal of 214445220 is 22544412.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65052 + ... + 68268.

It is an arithmetic number, because the mean of its divisors is an integer number (6892956).

Almost surely, 2214445220 is an apocalyptic number.

214445220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214445220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330861888).

214445220 is an abundant number, since it is smaller than the sum of its proper divisors (447278556).

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

214445220 is a wasteful number, since it uses less digits than its factorization.

214445220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 214445220 is about 14643.9482380948. The cubic root of 214445220 is about 598.5569208759.

Adding to 214445220 its reverse (22544412), we get a palindrome (236989632).

The spelling of 214445220 in words is "two hundred fourteen million, four hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3217 3333 4444 5555 6060 6434 6666 9651 11110 12868 13332 16085 16665 19302 22220 32170 33330 35387 38604 48255 64340 66660 70774 96510 106161 141548 176935 193020 212322 324917 353870 424644 530805 649834 707740 974751 1061610 1299668 1624585 1949502 2123220 3249170 3574087 3899004 4873755 6498340 7148174 9747510 10722261 14296348 17870435 19495020 21444522 35740870 42889044 53611305 71481740 107222610 214445220