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214322432 = 2819139317
BaseRepresentation
bin11001100011001…
…00110100000000
3112221021201002212
430301210310000
5414331304212
633133401252
75211465512
oct1461446400
9487251085
10214322432
11aaa85685
125b939228
133553040c
142066dbb2
1513c37e22
hexcc64d00

214322432 has 72 divisors (see below), whose sum is σ = 454994400. Its totient is φ = 100472832.

The previous prime is 214322429. The next prime is 214322453. The reversal of 214322432 is 234223412.

It is a junction number, because it is equal to n+sod(n) for n = 214322398 and 214322407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 675938 + ... + 676254.

Almost surely, 2214322432 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 214322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227497200).

214322432 is an abundant number, since it is smaller than the sum of its proper divisors (240671968).

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

214322432 is a wasteful number, since it uses less digits than its factorization.

214322432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 477 counting only the distinct ones).

The product of its digits is 2304, while the sum is 23.

The square root of 214322432 is about 14639.7551892100. The cubic root of 214322432 is about 598.4426576013.

Adding to 214322432 its reverse (234223412), we get a palindrome (448545844).

The spelling of 214322432 in words is "two hundred fourteen million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 139 152 256 278 304 317 556 608 634 1112 1216 1268 2224 2432 2536 2641 4448 4864 5072 5282 6023 8896 10144 10564 12046 17792 20288 21128 24092 35584 40576 42256 44063 48184 81152 84512 88126 96368 169024 176252 192736 338048 352504 385472 676096 705008 770944 837197 1410016 1541888 1674394 2820032 3348788 5640064 6697576 11280128 13395152 26790304 53580608 107161216 214322432