Search a number
-
+
469719900 = 22325213192113
BaseRepresentation
bin11011111111110…
…101101101011100
31012201212020120100
4123333311231130
51430222014100
6114335421100
714432360526
oct3377655534
91181766510
10469719900
11221165571
12111384790
1376412790
1446552a16
152b386400
hex1bff5b5c

469719900 has 216 divisors, whose sum is σ = 1669806320. Its totient is φ = 109486080.

The previous prime is 469719893. The next prime is 469719907. The reversal of 469719900 is 9917964.

It is an interprime number because it is at equal distance from previous prime (469719893) and next prime (469719907).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469719907) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 221244 + ... + 223356.

Almost surely, 2469719900 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 469719900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834903160).

469719900 is an abundant number, since it is smaller than the sum of its proper divisors (1200086420).

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

469719900 is a wasteful number, since it uses less digits than its factorization.

469719900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 469719900 is about 21673.0224011327. The cubic root of 469719900 is about 777.3435271322.

The spelling of 469719900 in words is "four hundred sixty-nine million, seven hundred nineteen thousand, nine hundred".