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690219144 = 23352343359
BaseRepresentation
bin101001001000111…
…110100010001000
31210002202202200000
4221020332202020
52403144003034
6152253443000
723050523466
oct5110764210
91702682600
10690219144
1132467994a
121731a0460
13accc64c4
146794d836
15408de599
hex2923e888

690219144 has 192 divisors, whose sum is σ = 2075673600. Its totient is φ = 214353216.

The previous prime is 690219143. The next prime is 690219157. The reversal of 690219144 is 441912096.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 690219099 and 690219108.

It is not an unprimeable number, because it can be changed into a prime (690219143) 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, 1922437 + ... + 1922795.

It is an arithmetic number, because the mean of its divisors is an integer number (10810800).

Almost surely, 2690219144 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 690219144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037836800).

690219144 is an abundant number, since it is smaller than the sum of its proper divisors (1385454456).

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

690219144 is a wasteful number, since it uses less digits than its factorization.

690219144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 690219144 is about 26272.0220767264. The cubic root of 690219144 is about 883.7491320103.

The spelling of 690219144 in words is "six hundred ninety million, two hundred nineteen thousand, one hundred forty-four".