Search a number
-
+
219220464 = 24328116253
BaseRepresentation
bin11010001000100…
…00100111110000
3120021111112221110
431010100213300
5422110023324
633430353320
75301225501
oct1504204760
9507445843
10219220464
11102820641
12614bb840
1336556968
1421186ba8
15143a4329
hexd1109f0

219220464 has 40 divisors (see below), whose sum is σ = 568369872. Its totient is φ = 72808960.

The previous prime is 219220453. The next prime is 219220471. The reversal of 219220464 is 464022912.

It is a super-2 number, since 2×2192204642 = 96115223672750592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5362 + ... + 21614.

Almost surely, 2219220464 is an apocalyptic number.

219220464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

219220464 is an abundant number, since it is smaller than the sum of its proper divisors (349149408).

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

219220464 is a wasteful number, since it uses less digits than its factorization.

219220464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16545 (or 16539 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 219220464 is about 14806.0955015156. The cubic root of 219220464 is about 602.9672130002.

The spelling of 219220464 in words is "two hundred nineteen million, two hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 281 562 843 1124 1686 2248 3372 4496 6744 13488 16253 32506 48759 65012 97518 130024 195036 260048 390072 780144 4567093 9134186 13701279 18268372 27402558 36536744 54805116 73073488 109610232 219220464