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214211004 = 223710723833
BaseRepresentation
bin11001100010010…
…01100110111100
3112221002001020220
430301021212330
5414314223004
633131141340
75210522610
oct1461114674
9487061226
10214211004
11aaa09997
125b8a4850
13354c1797
1420641340
1513c14dd9
hexcc499bc

214211004 has 48 divisors (see below), whose sum is σ = 576592128. Its totient is φ = 60628608.

The previous prime is 214211003. The next prime is 214211021. The reversal of 214211004 is 400112412.

214211004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214211003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2929 + ... + 20904.

It is an arithmetic number, because the mean of its divisors is an integer number (12012336).

Almost surely, 2214211004 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 214211004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288296064).

214211004 is an abundant number, since it is smaller than the sum of its proper divisors (362381124).

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

214211004 is a wasteful number, since it uses less digits than its factorization.

214211004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23954 (or 23952 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 214211004 is about 14635.9490297008. The cubic root of 214211004 is about 598.3389278648.

Adding to 214211004 its reverse (400112412), we get a palindrome (614323416).

The spelling of 214211004 in words is "two hundred fourteen million, two hundred eleven thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 749 1284 1498 2247 2996 4494 8988 23833 47666 71499 95332 142998 166831 285996 333662 500493 667324 1000986 2001972 2550131 5100262 7650393 10200524 15300786 17850917 30601572 35701834 53552751 71403668 107105502 214211004