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25220484 = 2238312
BaseRepresentation
bin110000000110…
…1010110000100
31202110100000000
41200031112010
522424023414
62300321300
7424241052
oct140152604
952410000
1025220484
1113266583
128543230
1352c0683
1434c71d2
152332b09
hex180d584

25220484 has 81 divisors (see below), whose sum is σ = 68404791. Its totient is φ = 8135640.

The previous prime is 25220479. The next prime is 25220491. The reversal of 25220484 is 48402252.

It is a happy number.

The square root of 25220484 is 5022.

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

It is a tau number, because it is divible by the number of its divisors (81).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 813549 + ... + 813579.

Almost surely, 225220484 is an apocalyptic number.

25220484 is the 5022-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25220484

25220484 is an abundant number, since it is smaller than the sum of its proper divisors (43184307).

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

25220484 is an frugal number, since it uses more digits than its factorization.

25220484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The cubic root of 25220484 is about 293.2588579293.

It can be divided in two parts, 252 and 20484, that added together give a 4-th power (20736 = 124).

The spelling of 25220484 in words is "twenty-five million, two hundred twenty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 729 837 961 972 1116 1458 1674 1922 2187 2511 2883 2916 3348 3844 4374 5022 5766 6561 7533 8649 8748 10044 11532 13122 15066 17298 22599 25947 26244 30132 34596 45198 51894 67797 77841 90396 103788 135594 155682 203391 233523 271188 311364 406782 467046 700569 813564 934092 1401138 2101707 2802276 4203414 6305121 8406828 12610242 25220484