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30969225 = 325272532
BaseRepresentation
bin111011000100…
…0110110001001
32011021101210100
41312020312021
530412003400
63023440013
7524143200
oct166106611
964241710
1030969225
1116532701
12a456009
1365541b1
144182237
152abb100
hex1d88d89

30969225 has 81 divisors (see below), whose sum is σ = 65765973. Its totient is φ = 13890240.

The previous prime is 30969199. The next prime is 30969233. The reversal of 30969225 is 52296903.

30969225 = 13 + 23 + ... + 1053.

The square root of 30969225 is 5565.

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

It can be written as a sum of positive squares in 4 ways, for example, as 233289 + 30735936 = 483^2 + 5544^2 .

It is not a de Polignac number, because 30969225 - 27 = 30969097 is a prime.

It is a super-3 number, since 3×309692253 (a number of 23 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30969225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 584299 + ... + 584351.

Almost surely, 230969225 is an apocalyptic number.

30969225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

30969225 is the 5565-th square number.

30969225 is the 2783-rd centered octagonal number.

It is an amenable number.

30969225 is an abundant number, since it is smaller than the sum of its proper divisors (34796748).

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

30969225 is a wasteful number, since it uses less digits than its factorization.

30969225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The cubic root of 30969225 is about 314.0340781438.

Multiplying 30969225 by its sum of digits (36), we get a square (1114892100 = 333902).

It can be divided in two parts, 3096 and 9225, that added together give a palindrome (12321).

The spelling of 30969225 in words is "thirty million, nine hundred sixty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 53 63 75 105 147 159 175 225 245 265 315 371 441 477 525 735 795 1113 1225 1325 1575 1855 2205 2385 2597 2809 3339 3675 3975 5565 7791 8427 9275 11025 11925 12985 14045 16695 19663 23373 25281 27825 38955 42135 58989 64925 70225 83475 98315 116865 126405 137641 176967 194775 210675 294945 412923 491575 584325 632025 688205 884835 1238769 1474725 2064615 3441025 4424175 6193845 10323075 30969225