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214445660 = 225111397773
BaseRepresentation
bin11001100100000…
…10111001011100
3112221111222010212
430302002321130
5414344230120
633140151552
75212521002
oct1462027134
9487458125
10214445660
1110005a220
125b9985b8
1335574530
14206a2a72
1513c5e6c5
hexcc82e5c

214445660 has 96 divisors (see below), whose sum is σ = 535211712. Its totient is φ = 71147520.

The previous prime is 214445659. The next prime is 214445663. The reversal of 214445660 is 66544412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214445663) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 277034 + ... + 277806.

It is an arithmetic number, because the mean of its divisors is an integer number (5575122).

Almost surely, 2214445660 is an apocalyptic number.

214445660 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 214445660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267605856).

214445660 is an abundant number, since it is smaller than the sum of its proper divisors (320766052).

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

214445660 is a wasteful number, since it uses less digits than its factorization.

214445660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 214445660 is about 14643.9632613579. The cubic root of 214445660 is about 598.5573302498.

The spelling of 214445660 in words is "two hundred fourteen million, four hundred forty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 97 110 130 143 194 220 260 286 388 485 572 715 773 970 1067 1261 1430 1546 1940 2134 2522 2860 3092 3865 4268 5044 5335 6305 7730 8503 10049 10670 12610 13871 15460 17006 20098 21340 25220 27742 34012 40196 42515 50245 55484 69355 74981 85030 100490 110539 138710 149962 170060 200980 221078 277420 299924 374905 442156 552695 749810 824791 974753 1105390 1499620 1649582 1949506 2210780 3299164 3899012 4123955 4873765 8247910 9747530 10722283 16495820 19495060 21444566 42889132 53611415 107222830 214445660