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10740213225 = 345274472
BaseRepresentation
bin10100000000010101…
…01010010111101001
31000201111121100210000
422000022222113221
5133443443310400
64533424013213
7530103210000
oct120012522751
930644540700
1010740213225
114611630185
1220b8a61209
131022169471
1473c5a7c37
1542cd75600
hex2802aa5e9

10740213225 has 225 divisors, whose sum is σ = 23713285607. Its totient is φ = 4805347680.

The previous prime is 10740213103. The next prime is 10740213227. The reversal of 10740213225 is 52231204701.

The square root of 10740213225 is 103635.

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

10740213225 is a `hidden beast` number, since 107 + 402 + 132 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3866476761 + 6873736464 = 62181^2 + 82908^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 10740213225 - 29 = 10740212713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10740213227) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 228515152 + ... + 228515198.

Almost surely, 210740213225 is an apocalyptic number.

10740213225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10740213225 is the 103635-th square number.

10740213225 is the 51818-th centered octagonal number.

It is an amenable number.

10740213225 is an abundant number, since it is smaller than the sum of its proper divisors (12973072382).

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

10740213225 is an frugal number, since it uses more digits than its factorization.

10740213225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 10740213225 its reverse (52231204701), we get a palindrome (62971417926).

The spelling of 10740213225 in words is "ten billion, seven hundred forty million, two hundred thirteen thousand, two hundred twenty-five".