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172225145752 = 23112977182107
BaseRepresentation
bin1010000001100101101…
…0110010101110011000
3121110112122222220020221
42200121122302232120
510310204114131002
6211041422325424
715304620404362
oct2403132625630
9543478886227
10172225145752
1167049672100
1229465a29874
1313318c5108a
14849b3bbd32
15472ed82c37
hex28196b2b98

172225145752 has 48 divisors (see below), whose sum is σ = 355312739880. Its totient is φ = 78203600640.

The previous prime is 172225145749. The next prime is 172225145761. The reversal of 172225145752 is 257541522271.

It is a junction number, because it is equal to n+sod(n) for n = 172225145699 and 172225145708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 854683 + ... + 1036789.

Almost surely, 2172225145752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172225145752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177656369940).

172225145752 is an abundant number, since it is smaller than the sum of its proper divisors (183087594128).

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

172225145752 is a wasteful number, since it uses less digits than its factorization.

172225145752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183112 (or 183097 counting only the distinct ones).

The product of its digits is 392000, while the sum is 43.

The spelling of 172225145752 in words is "one hundred seventy-two billion, two hundred twenty-five million, one hundred forty-five thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 977 1954 3908 7816 10747 21494 42988 85976 118217 182107 236434 364214 472868 728428 945736 1456856 2003177 4006354 8012708 16025416 22034947 44069894 88139788 176279576 177918539 355837078 711674156 1423348312 1957103929 3914207858 7828415716 15656831432 21528143219 43056286438 86112572876 172225145752