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220245532325 = 52713277349499
BaseRepresentation
bin1100110100011110101…
…0000001111010100101
3210001111021211021202222
43031013222001322211
512102030324013300
6245102430042125
721624614064410
oct3150752017245
9701437737688
10220245532325
11854509522a5
1236827949345
13179cc833ac0
14a934c3cb77
155ae0a40785
hex3347a81ea5

220245532325 has 48 divisors (see below), whose sum is σ = 337342992000. Its totient is φ = 138904485120.

The previous prime is 220245532279. The next prime is 220245532343. The reversal of 220245532325 is 523235542022.

It is a happy number.

220245532325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220245532325 - 28 = 220245532069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 455426 + ... + 804924.

It is an arithmetic number, because the mean of its divisors is an integer number (7027979000).

Almost surely, 2220245532325 is an apocalyptic number.

220245532325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

220245532325 is a deficient number, since it is larger than the sum of its proper divisors (117097459675).

220245532325 is a wasteful number, since it uses less digits than its factorization.

220245532325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349806 (or 349801 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

The spelling of 220245532325 in words is "two hundred twenty billion, two hundred forty-five million, five hundred thirty-two thousand, three hundred twenty-five".

Divisors: 1 5 7 13 25 35 65 91 175 277 325 455 1385 1939 2275 3601 6925 9695 18005 25207 48475 90025 126035 349499 630175 1747495 2446493 4543487 8737475 12232465 22717435 31804409 61162325 96811223 113587175 159022045 484056115 677678561 795110225 1258545899 2420280575 3388392805 6292729495 8809821293 16941964025 31463647475 44049106465 220245532325