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214223232 = 2732919237
BaseRepresentation
bin11001100010011…
…00100110000000
3112221002200000210
430301030212000
5414320120412
633131314120
75210603346
oct1461144600
9487080023
10214223232
11aaa180a3
125b8ab940
13354c7212
1420645996
1513c1883c
hexcc4c980

214223232 has 64 divisors (see below), whose sum is σ = 588682800. Its totient is φ = 68941824.

The previous prime is 214223221. The next prime is 214223263. The reversal of 214223232 is 232322412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 214223199 and 214223208.

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, 1518 + ... + 20754.

Almost surely, 2214223232 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 214223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294341400).

214223232 is an abundant number, since it is smaller than the sum of its proper divisors (374459568).

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

214223232 is a wasteful number, since it uses less digits than its factorization.

214223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19283 (or 19271 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 214223232 is about 14636.3667622809. The cubic root of 214223232 is about 598.3503128218.

Adding to 214223232 its reverse (232322412), we get a palindrome (446545644).

It can be divided in two parts, 214 and 223232, that added together give a triangular number (223446 = T668).

The spelling of 214223232 in words is "two hundred fourteen million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 19237 38474 57711 76948 115422 153896 230844 307792 461688 557873 615584 923376 1115746 1231168 1673619 1846752 2231492 2462336 3347238 3693504 4462984 6694476 7387008 8925968 13388952 17851936 26777904 35703872 53555808 71407744 107111616 214223232