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232541050232225 = 5273146211854763
BaseRepresentation
bin110100110111111010101110…
…101100011101110110100001
31010111100201002121122020112102
4310313322232230131312201
5220434423032324412400
62142323514513540145
766660352001426000
oct6467725654356641
91114321077566472
10232541050232225
1168105118583739
12220b801b274655
139c9a6b09099a7
14415d092916c37
151bd3dd67659d5
hexd37eaeb1dda1

232541050232225 has 48 divisors (see below), whose sum is σ = 336292454179200. Its totient is φ = 159445728187200.

The previous prime is 232541050232201. The next prime is 232541050232233. The reversal of 232541050232225 is 522232050145232.

It is a de Polignac number, because none of the positive numbers 2k-232541050232225 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124447694 + ... + 126302456.

It is an arithmetic number, because the mean of its divisors is an integer number (7006092795400).

Almost surely, 2232541050232225 is an apocalyptic number.

232541050232225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

232541050232225 is a deficient number, since it is larger than the sum of its proper divisors (103751403946975).

232541050232225 is a wasteful number, since it uses less digits than its factorization.

232541050232225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869415 (or 1869396 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

The spelling of 232541050232225 in words is "two hundred thirty-two trillion, five hundred forty-one billion, fifty million, two hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 343 1225 1715 8575 14621 73105 102347 365525 511735 716429 1854763 2558675 3582145 5015003 9273815 12983341 17910725 25075015 46369075 64916705 90883387 125375075 324583525 454416935 636183709 2272084675 3180918545 15904592725 27118489823 135592449115 189829428761 677962245575 949147143805 1328806001327 4745735719025 6644030006635 9301642009289 33220150033175 46508210046445 232541050232225