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25226145090 = 23451032111433
BaseRepresentation
bin10111011111100110…
…000110110101000010
32102010001102221120000
4113133212012311002
5403130343120330
615331055500430
71552061460336
oct273746066502
972101387500
1025226145090
11a7755571a3
124a80227716
1324c0345c93
1413144137c6
159c9993560
hex5df986d42

25226145090 has 160 divisors (see below), whose sum is σ = 68861460096. Its totient is φ = 6625463040.

The previous prime is 25226145089. The next prime is 25226145101. The reversal of 25226145090 is 9054162252.

25226145090 is a `hidden beast` number, since 2 + 522 + 6 + 1 + 45 + 0 + 90 = 666.

It is a super-2 number, since 2×252261450902 (a number of 22 digits) contains 22 as substring.

It is a Curzon 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 79 ways as a sum of consecutive naturals, for example, 17603014 + ... + 17604446.

Almost surely, 225226145090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25226145090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34430730048).

25226145090 is an abundant number, since it is smaller than the sum of its proper divisors (43635315006).

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

25226145090 is a wasteful number, since it uses less digits than its factorization.

25226145090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 25226145090 in words is "twenty-five billion, two hundred twenty-six million, one hundred forty-five thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 103 135 162 206 211 270 309 405 422 515 618 633 810 927 1030 1055 1266 1433 1545 1854 1899 2110 2781 2866 3090 3165 3798 4299 4635 5562 5697 6330 7165 8343 8598 9270 9495 11394 12897 13905 14330 16686 17091 18990 21495 21733 25794 27810 28485 34182 38691 41715 42990 43466 56970 64485 65199 77382 83430 85455 108665 116073 128970 130398 147599 170910 193455 195597 217330 232146 295198 302363 325995 386910 391194 442797 580365 586791 604726 651990 737995 885594 907089 977985 1160730 1173582 1328391 1475990 1511815 1760373 1814178 1955970 2213985 2656782 2721267 2933955 3023630 3520746 3985173 4427970 4535445 5442534 5867910 6641955 7970346 8163801 8801865 9070890 11955519 13283910 13606335 16327602 17603730 19925865 23911038 24491403 27212670 31143389 39851730 40819005 48982806 59777595 62286778 81638010 93430167 119555190 122457015 155716945 186860334 244914030 280290501 311433890 467150835 560581002 840871503 934301670 1401452505 1681743006 2522614509 2802905010 4204357515 5045229018 8408715030 12613072545 25226145090