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214471152 = 2434747503
BaseRepresentation
bin11001100100010…
…01000111110000
3112221120021010000
430302021013300
5414401034102
633140510000
75212655220
oct1462110760
9487507100
10214471152
11100077395
125b9ab300
133558300c
14206ac080
1513c6701c
hexcc891f0

214471152 has 200 divisors, whose sum is σ = 725953536. Its totient is φ = 59854464.

The previous prime is 214471111. The next prime is 214471157. The reversal of 214471152 is 251174412.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214471157) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 426133 + ... + 426635.

Almost surely, 2214471152 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 214471152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362976768).

214471152 is an abundant number, since it is smaller than the sum of its proper divisors (511482384).

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

214471152 is a wasteful number, since it uses less digits than its factorization.

214471152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 562 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 214471152 is about 14644.8336282800. The cubic root of 214471152 is about 598.5810469323.

The spelling of 214471152 in words is "two hundred fourteen million, four hundred seventy-one thousand, one hundred fifty-two".