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1226750625 = 32544672
BaseRepresentation
bin100100100011110…
…1011101010100001
310011111100101111100
41021013223222201
510003022010000
6321421305013
742254131302
oct11107535241
93144311440
101226750625
1157a5179a1
122a2a05169
131671cc459
14b8cd47a9
1572a71a00
hex491ebaa1

1226750625 has 45 divisors (see below), whose sum is σ = 2219009221. Its totient is φ = 652866000.

The previous prime is 1226750593. The next prime is 1226750633. The reversal of 1226750625 is 5260576221.

The square root of 1226750625 is 35025.

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

1226750625 is a `hidden beast` number, since 1 + 2 + 26 + 7 + 5 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96177249 + 1130573376 = 9807^2 + 33624^2 .

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

It is not a de Polignac number, because 1226750625 - 25 = 1226750593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1226750625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2626642 + ... + 2627108.

Almost surely, 21226750625 is an apocalyptic number.

1226750625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1226750625 is the 35025-th square number.

1226750625 is the 17513-rd centered octagonal number.

It is an amenable number.

1226750625 is a deficient number, since it is larger than the sum of its proper divisors (992258596).

1226750625 is an frugal number, since it uses more digits than its factorization.

1226750625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The cubic root of 1226750625 is about 1070.4969377753.

Multiplying 1226750625 by its sum of digits (36), we get a square (44163022500 = 2101502).

The spelling of 1226750625 in words is "one billion, two hundred twenty-six million, seven hundred fifty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 467 625 1125 1401 1875 2335 4203 5625 7005 11675 21015 35025 58375 105075 175125 218089 291875 525375 654267 875625 1090445 1962801 2626875 3271335 5452225 9814005 16356675 27261125 49070025 81783375 136305625 245350125 408916875 1226750625