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442234900 = 225221120959
BaseRepresentation
bin11010010110111…
…111100000010100
31010211010212020101
4122112333200110
51401203004100
6111514343444
713646635402
oct3226774024
91124125211
10442234900
112076a2698
1210412ab84
137080b473
1442a3a472
1528c5786a
hex1a5bf814

442234900 has 36 divisors (see below), whose sum is σ = 964243840. Its totient is φ = 176047200.

The previous prime is 442234843. The next prime is 442234901. The reversal of 442234900 is 9432244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442234901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10621 + ... + 31579.

Almost surely, 2442234900 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 442234900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482121920).

442234900 is an abundant number, since it is smaller than the sum of its proper divisors (522008940).

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

442234900 is a wasteful number, since it uses less digits than its factorization.

442234900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21184 (or 21177 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 442234900 is about 21029.3818263876. The cubic root of 442234900 is about 761.8760783410.

The spelling of 442234900 in words is "four hundred forty-two million, two hundred thirty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 422 844 1055 2110 4220 5275 10550 20959 21100 41918 83836 104795 209590 419180 523975 1047950 2095900 4422349 8844698 17689396 22111745 44223490 88446980 110558725 221117450 442234900