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25272234 = 23213176353
BaseRepresentation
bin110000001100…
…1111110101010
31202112221222200
41200121332222
522432202414
62301401030
7424544661
oct140317652
952487880
1025272234
11132a1449
128569176
13530b0b0
1434dbdd8
152343109
hex1819faa

25272234 has 48 divisors (see below), whose sum is σ = 62447112. Its totient is φ = 7317504.

The previous prime is 25272227. The next prime is 25272241. The reversal of 25272234 is 43227252.

It is an interprime number because it is at equal distance from previous prime (25272227) and next prime (25272241).

It can be written as a sum of positive squares in 4 ways, for example, as 20277009 + 4995225 = 4503^2 + 2235^2 .

It is a super-2 number, since 2×252722342 = 1277371622701512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25272198 and 25272207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 802 + ... + 7154.

Almost surely, 225272234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25272234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31223556).

25272234 is an abundant number, since it is smaller than the sum of its proper divisors (37174878).

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

25272234 is a wasteful number, since it uses less digits than its factorization.

25272234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6391 (or 6388 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 25272234 is about 5027.1496894364. The cubic root of 25272234 is about 293.4593005235.

Adding to 25272234 its reverse (43227252), we get a palindrome (68499486).

It can be divided in two parts, 2527 and 2234, that added together give a square (4761 = 692).

The spelling of 25272234 in words is "twenty-five million, two hundred seventy-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 6353 12706 19059 38118 57177 82589 108001 114354 165178 216002 247767 324003 495534 648006 743301 972009 1404013 1486602 1944018 2808026 4212039 8424078 12636117 25272234