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189221130525 = 35272234154601
BaseRepresentation
bin1011000000111001110…
…1010101000100011101
3200002102010221101022110
42300032131111010131
511100011102134100
6222532121304233
716446035033400
oct2601635250435
9602363841273
10189221130525
1173280439009
1230809935079
1314ac71699bb
149230733d37
154dc7015250
hex2c0e75511d

189221130525 has 144 divisors (see below), whose sum is σ = 389014351488. Its totient is φ = 80720640000.

The previous prime is 189221130521. The next prime is 189221130619. The reversal of 189221130525 is 525031122981.

It is a happy number.

It is not a de Polignac number, because 189221130525 - 22 = 189221130521 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189221130521) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3438225 + ... + 3492825.

It is an arithmetic number, because the mean of its divisors is an integer number (2701488552).

Almost surely, 2189221130525 is an apocalyptic number.

189221130525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

189221130525 is an abundant number, since it is smaller than the sum of its proper divisors (199793220963).

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

189221130525 is a wasteful number, since it uses less digits than its factorization.

189221130525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54692 (or 54680 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

It can be divided in two parts, 189 and 221130525, that multiplied together give a square (41793669225 = 2044352).

The spelling of 189221130525 in words is "one hundred eighty-nine billion, two hundred twenty-one million, one hundred thirty thousand, five hundred twenty-five".

Divisors: 1 3 5 7 15 21 23 25 35 41 49 69 75 105 115 123 147 161 175 205 245 287 345 483 525 575 615 735 805 861 943 1025 1127 1225 1435 1725 2009 2415 2829 3075 3381 3675 4025 4305 4715 5635 6027 6601 7175 10045 12075 14145 16905 19803 21525 23575 28175 30135 33005 46207 50225 54601 70725 84525 99015 138621 150675 163803 165025 231035 273005 382207 495075 693105 819015 1146621 1155175 1255823 1365025 1911035 2238641 2675449 3465525 3767469 4095075 5733105 6279115 6715923 8026347 8790761 9555175 11193205 13377245 15670487 18837345 26372283 28665525 31395575 33579615 40131735 43953805 47011461 51488743 55966025 61535327 66886225 78352435 94186725 109693409 131861415 154466229 167898075 184605981 200658675 219769025 235057305 257443715 307676635 329080227 360421201 391762175 548467045 659307075 772331145 923029905 1081263603 1175286525 1287218575 1538383175 1645401135 1802106005 2522948407 2742335225 3861655725 4615149525 5406318015 7568845221 8227005675 9010530025 12614742035 27031590075 37844226105 63073710175 189221130525