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190854225 = 34523072
BaseRepresentation
bin10110110000000…
…11010001010001
3111022010101210000
423120003101101
5342324313400
630534400213
74505143212
oct1330032121
9438111700
10190854225
1198806671
1253b00069
13307044c3
141b4c1409
1511b4e600
hexb603451

190854225 has 45 divisors (see below), whose sum is σ = 354683307. Its totient is φ = 101457360.

The previous prime is 190854217. The next prime is 190854227. The reversal of 190854225 is 522458091.

The square root of 190854225 is 13815.

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

190854225 is a `hidden beast` number, since 1 + 90 + 8 + 542 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68707521 + 122146704 = 8289^2 + 11052^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 190854225 - 23 = 190854217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 190854225.

It is not an unprimeable number, because it can be changed into a prime (190854227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 621522 + ... + 621828.

Almost surely, 2190854225 is an apocalyptic number.

190854225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

190854225 is the 13815-th square number.

190854225 is the 6908-th centered octagonal number.

It is an amenable number.

190854225 is a deficient number, since it is larger than the sum of its proper divisors (163829082).

190854225 is an frugal number, since it uses more digits than its factorization.

190854225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The cubic root of 190854225 is about 575.7499728654.

Multiplying 190854225 by its sum of digits (36), we get a square (6870752100 = 828902).

The spelling of 190854225 in words is "one hundred ninety million, eight hundred fifty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 307 405 675 921 1535 2025 2763 4605 7675 8289 13815 23025 24867 41445 69075 94249 124335 207225 282747 471245 621675 848241 1413735 2356225 2544723 4241205 7068675 7634169 12723615 21206025 38170845 63618075 190854225