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214173396 = 22351911597
BaseRepresentation
bin11001100010000…
…00011011010100
3112221000010200000
430301000123110
5414312022041
633130251300
75210305143
oct1461003324
9487003600
10214173396
11aa993708
125b886b30
13354aa628
142063175a
1513c08bb6
hexcc406d4

214173396 has 72 divisors (see below), whose sum is σ = 591034080. Its totient is φ = 67627872.

The previous prime is 214173391. The next prime is 214173403. The reversal of 214173396 is 693371412.

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

It is a self number, because there is not a number n which added to its sum of digits gives 214173396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214173391) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12670 + ... + 24266.

Almost surely, 2214173396 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 214173396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295517040).

214173396 is an abundant number, since it is smaller than the sum of its proper divisors (376860684).

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

214173396 is a wasteful number, since it uses less digits than its factorization.

214173396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11635 (or 11621 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 214173396 is about 14634.6641915693. The cubic root of 214173396 is about 598.3039099822.

The spelling of 214173396 in words is "two hundred fourteen million, one hundred seventy-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 972 1026 1539 2052 3078 4617 6156 9234 11597 18468 23194 34791 46388 69582 104373 139164 208746 220343 313119 417492 440686 626238 661029 881372 939357 1252476 1322058 1878714 1983087 2644116 2818071 3757428 3966174 5636142 5949261 7932348 11272284 11898522 17847783 23797044 35695566 53543349 71391132 107086698 214173396