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469693224 = 233274111319
BaseRepresentation
bin11011111111101…
…111001100101000
31012201210212222100
4123333233030220
51430220140344
6114335053400
714432220000
oct3377571450
91181725870
10469693224
11221147520
12111371260
13764035b0
1446547000
152b37d569
hex1bfef328

469693224 has 480 divisors, whose sum is σ = 1835215200. Its totient is φ = 106686720.

The previous prime is 469693223. The next prime is 469693241. The reversal of 469693224 is 422396964.

It is a super-2 number, since 2×4696932242 = 441223449343028352, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 469693224.

It is not an unprimeable number, because it can be changed into a prime (469693223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24720687 + ... + 24720705.

It is an arithmetic number, because the mean of its divisors is an integer number (3823365).

Almost surely, 2469693224 is an apocalyptic number.

469693224 is a gapful number since it is divisible by the number (44) 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 469693224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917607600).

469693224 is an abundant number, since it is smaller than the sum of its proper divisors (1365521976).

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

469693224 is a wasteful number, since it uses less digits than its factorization.

469693224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 55 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 469693224 is about 21672.4069729230. The cubic root of 469693224 is about 777.3288114059.

The spelling of 469693224 in words is "four hundred sixty-nine million, six hundred ninety-three thousand, two hundred twenty-four".