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3214323025 = 52172232292
BaseRepresentation
bin1011111110010110…
…1010110101010001
322022000022112020221
42333211222311101
523040331314100
61250542033041
7142440203104
oct27745526521
98260275227
103214323025
1113aa446511
12758578781
133c2c14cb4
14226c7673b
1513c2cc01a
hexbf96ad51

3214323025 has 81 divisors (see below), whose sum is σ = 4583986771. Its totient is φ = 2235143680.

The previous prime is 3214323017. The next prime is 3214323031. The reversal of 3214323025 is 5203234123.

The square root of 3214323025 is 56695.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1047234321 + 2167088704 = 32361^2 + 46552^2 .

It is not a de Polignac number, because 3214323025 - 23 = 3214323017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 110838711 + ... + 110838739.

Almost surely, 23214323025 is an apocalyptic number.

3214323025 is the 56695-th square number.

3214323025 is the 28348-th centered octagonal number.

It is an amenable number.

3214323025 is a deficient number, since it is larger than the sum of its proper divisors (1369663746).

3214323025 is a wasteful number, since it uses less digits than its factorization.

3214323025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The cubic root of 3214323025 is about 1475.8079304486.

Multiplying 3214323025 by its sum of digits (25), we get a square (80358075625 = 2834752).

3214323025 divided by its sum of digits (25) gives a square (128572921 = 113392).

Adding to 3214323025 its reverse (5203234123), we get a palindrome (8417557148).

The spelling of 3214323025 in words is "three billion, two hundred fourteen million, three hundred twenty-three thousand, twenty-five".

Divisors: 1 5 17 23 25 29 85 115 145 289 391 425 493 529 575 667 725 841 1445 1955 2465 2645 3335 4205 6647 7225 8381 8993 9775 11339 12325 13225 14297 15341 16675 19343 21025 33235 41905 44965 56695 71485 76705 96715 152881 166175 192763 209525 224825 243049 260797 283475 328831 357425 383525 444889 483575 764405 963815 1215245 1303985 1644155 2224445 3822025 4433549 4819075 5590127 6076225 6519925 7563113 8220775 11122225 22167745 27950635 37815565 110838725 128572921 139753175 189077825 642864605 3214323025