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90282220900 = 2252300472
BaseRepresentation
bin101010000010100111…
…1010101110101100100
322122000220221000102021
41110011033111311210
52434344222032100
6105250341152524
76344164134004
oct1240517256544
9278026830367
1090282220900
1135319a61903
12155b73bb744
13868a4367b1
1445265a4004
152536027a1a
hex15053d5d64

90282220900 has 27 divisors (see below), whose sum is σ = 195918939769. Its totient is φ = 36111686480.

The previous prime is 90282220879. The next prime is 90282220913. The reversal of 90282220900 is 902228209.

The square root of 90282220900 is 300470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32501599524 + 57780621376 = 180282^2 + 240376^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2989677 + ... + 3019723.

Almost surely, 290282220900 is an apocalyptic number.

90282220900 is the 300470-th square number.

It is an amenable number.

90282220900 is an abundant number, since it is smaller than the sum of its proper divisors (105636718869).

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

90282220900 is an frugal number, since it uses more digits than its factorization.

90282220900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60108 (or 30054 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 90282220900 in words is "ninety billion, two hundred eighty-two million, two hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 30047 60094 120188 150235 300470 600940 751175 1502350 3004700 902822209 1805644418 3611288836 4514111045 9028222090 18056444180 22570555225 45141110450 90282220900