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194044900 = 2252721992
BaseRepresentation
bin10111001000011…
…10001111100100
3111112010111120011
423210032033210
5344133414100
631131020004
74544232400
oct1344161744
9445114504
10194044900
119a595895
1254b9a604
133128088a
141bab2100
151207ebba
hexb90e3e4

194044900 has 81 divisors (see below), whose sum is σ = 492298569. Its totient is φ = 66195360.

The previous prime is 194044897. The next prime is 194044913. The reversal of 194044900 is 9440491.

The square root of 194044900 is 13930.

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

194044900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 69856164 + 124188736 = 8358^2 + 11144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 975001 + ... + 975199.

Almost surely, 2194044900 is an apocalyptic number.

194044900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

194044900 is the 13930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194044900

194044900 is an abundant number, since it is smaller than the sum of its proper divisors (298253669).

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

194044900 is a wasteful number, since it uses less digits than its factorization.

194044900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The cubic root of 194044900 is about 578.9406942974.

Multiplying 194044900 by its product of nonzero digits (5184), we get a square (1005928761600 = 10029602).

The spelling of 194044900 in words is "one hundred ninety-four million, forty-four thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 199 245 350 398 490 700 796 980 995 1225 1393 1990 2450 2786 3980 4900 4975 5572 6965 9751 9950 13930 19502 19900 27860 34825 39004 39601 48755 69650 79202 97510 139300 158404 195020 198005 243775 277207 396010 487550 554414 792020 975100 990025 1108828 1386035 1940449 1980050 2772070 3880898 3960100 5544140 6930175 7761796 9702245 13860350 19404490 27720700 38808980 48511225 97022450 194044900