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214933992 = 233721317827
BaseRepresentation
bin11001100111110…
…10000111101000
3112222102210000020
430303322013220
5420010341432
633154440440
75216623500
oct1463720750
9488383006
10214933992
111003630a9
125bb93120
13356b58a0
142078ca00
1513d0922c
hexccfa1e8

214933992 has 192 divisors, whose sum is σ = 713603520. Its totient is φ = 53286912.

The previous prime is 214933987. The next prime is 214933997. The reversal of 214933992 is 299339412.

It is an interprime number because it is at equal distance from previous prime (214933987) and next prime (214933997).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (214933997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259483 + ... + 260309.

It is an arithmetic number, because the mean of its divisors is an integer number (3716685).

Almost surely, 2214933992 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 214933992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356801760).

214933992 is an abundant number, since it is smaller than the sum of its proper divisors (498669528).

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

214933992 is a wasteful number, since it uses less digits than its factorization.

214933992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 869 counting only the distinct ones).

The product of its digits is 104976, while the sum is 42.

The square root of 214933992 is about 14660.6272717098. The cubic root of 214933992 is about 599.0113273276.

The spelling of 214933992 in words is "two hundred fourteen million, nine hundred thirty-three thousand, nine hundred ninety-two".