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3148893225 = 3452292432
BaseRepresentation
bin1011101110110000…
…0100110000101001
322010110012100110000
42323230010300221
522422104040400
61240243413213
7141014102502
oct27354046051
98113170400
103148893225
1113765170a5
1273a684209
133b24b673a
1421c2c3ba9
151366a5600
hexbbb04c29

3148893225 has 135 divisors (see below), whose sum is σ = 6184660053. Its totient is φ = 1583789760.

The previous prime is 3148893217. The next prime is 3148893233. The reversal of 3148893225 is 5223988413.

The square root of 3148893225 is 56115.

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

3148893225 is a `hidden beast` number, since 314 + 8 + 8 + 9 + 322 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (3148893217) and next prime (3148893233).

It can be written as a sum of positive squares in 4 ways, for example, as 43283241 + 3105609984 = 6579^2 + 55728^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 3148893225 - 23 = 3148893217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (414720) is a multiple of the sum of its prime divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 73230054 + ... + 73230096.

Almost surely, 23148893225 is an apocalyptic number.

3148893225 is the 56115-th square number.

3148893225 is the 28058-th centered octagonal number.

It is an amenable number.

3148893225 is a deficient number, since it is larger than the sum of its proper divisors (3035766828).

3148893225 is an equidigital number, since it uses as much as digits as its factorization.

3148893225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 80 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The cubic root of 3148893225 is about 1465.7255042818.

The spelling of 3148893225 in words is "three billion, one hundred forty-eight million, eight hundred ninety-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 43 45 75 81 87 129 135 145 215 225 261 387 405 435 645 675 725 783 841 1075 1161 1247 1305 1849 1935 2025 2175 2349 2523 3225 3483 3741 3915 4205 5547 5805 6235 6525 7569 9245 9675 11223 11745 12615 16641 17415 18705 19575 21025 22707 27735 29025 31175 33669 36163 37845 46225 49923 53621 56115 58725 63075 68121 83205 87075 93525 101007 108489 113535 138675 149769 160863 168345 180815 189225 249615 268105 280575 325467 340605 416025 482589 505035 542445 567675 748845 804315 841725 904075 976401 1248075 1340525 1447767 1555009 1627335 1703025 2412945 2525175 2712225 2929203 3744225 4021575 4343301 4665027 4882005 7238835 7775045 8136675 12064725 13995081 14646015 21716505 23325135 24410025 36194175 38875225 41985243 69975405 73230075 108582525 116625675 125955729 209926215 349877025 629778645 1049631075 3148893225