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214023964 = 227211531873
BaseRepresentation
bin11001100000110…
…11111100011100
3112220201112200111
430300123330130
5414242231324
633123135404
75206113400
oct1460337434
9486645614
10214023964
11aa8a1410
125b814564
13354575cb
14205d3100
1513bc9794
hexcc1bf1c

214023964 has 72 divisors (see below), whose sum is σ = 484526448. Its totient is φ = 81768960.

The previous prime is 214023959. The next prime is 214023967. The reversal of 214023964 is 469320412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214023967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113332 + ... + 115204.

It is an arithmetic number, because the mean of its divisors is an integer number (6729534).

Almost surely, 2214023964 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 214023964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242263224).

214023964 is an abundant number, since it is smaller than the sum of its proper divisors (270502484).

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

214023964 is a wasteful number, since it uses less digits than its factorization.

214023964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 214023964 is about 14629.5578880566. The cubic root of 214023964 is about 598.1647290617.

The spelling of 214023964 in words is "two hundred fourteen million, twenty-three thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 53 77 98 106 154 196 212 308 371 539 583 742 1078 1166 1484 1873 2156 2332 2597 3746 4081 5194 7492 8162 10388 13111 16324 20603 26222 28567 41206 52444 57134 82412 91777 99269 114268 144221 183554 198538 288442 367108 397076 576884 694883 1009547 1091959 1389766 2019094 2183918 2779532 4038188 4367836 4864181 7643713 9728362 15287426 19456724 30574852 53505991 107011982 214023964