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219143340 = 2233513193153
BaseRepresentation
bin11010000111111…
…01110010101100
3120021100122011000
431003331302230
5422100041330
633425000300
75300454603
oct1503756254
9507318130
10219143340
111027786a9
1261483090
133652a820
1421166a3a
151438b560
hexd0fdcac

219143340 has 384 divisors, whose sum is σ = 812851200. Its totient is φ = 48522240.

The previous prime is 219143317. The next prime is 219143347. The reversal of 219143340 is 43341912.

219143340 is a `hidden beast` number, since 2 + 191 + 433 + 40 = 666.

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 (219143347) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4134754 + ... + 4134806.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2219143340 is an apocalyptic number.

219143340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219143340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406425600).

219143340 is an abundant number, since it is smaller than the sum of its proper divisors (593707860).

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

219143340 is a wasteful number, since it uses less digits than its factorization.

219143340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 219143340 is about 14803.4908045366. The cubic root of 219143340 is about 602.8964946968.

The spelling of 219143340 in words is "two hundred nineteen million, one hundred forty-three thousand, three hundred forty".