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220434125453152 = 25132940118022847
BaseRepresentation
bin110010000111101111010001…
…101111100111011101100000
31001220111022000012201120102021
4302013233101233213131200
5212343043042104000102
62100454012250431224
764300561056655462
oct6207572157473540
91056438005646367
10220434125453152
1164267651126826
122088173a732514
1395ccb05b80780
143c610d633c132
151a73ee66ee137
hexc87bd1be7760

220434125453152 has 48 divisors (see below), whose sum is σ = 467378659222272. Its totient is φ = 101735361100800.

The previous prime is 220434125453149. The next prime is 220434125453251. The reversal of 220434125453152 is 251354521434022.

It is a super-4 number, since 4×2204341254531524 (a number of 58 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220434125453099 and 220434125453108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3219393 + ... + 21242239.

It is an arithmetic number, because the mean of its divisors is an integer number (9737055400464).

Almost surely, 2220434125453152 is an apocalyptic number.

It is an amenable number.

220434125453152 is an abundant number, since it is smaller than the sum of its proper divisors (246944533769120).

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

220434125453152 is a wasteful number, since it uses less digits than its factorization.

220434125453152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18052271 (or 18052263 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 43.

Adding to 220434125453152 its reverse (251354521434022), we get a palindrome (471788646887174).

The spelling of 220434125453152 in words is "two hundred twenty trillion, four hundred thirty-four billion, one hundred twenty-five million, four hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 29401 58802 117604 235208 382213 470416 764426 940832 1528852 3057704 6115408 12230816 18022847 36045694 72091388 144182776 234297011 288365552 468594022 576731104 937188044 1874376088 3748752176 7497504352 529889724647 1059779449294 2119558898588 4239117797176 6888566420411 8478235594352 13777132840822 16956471188704 27554265681644 55108531363288 110217062726576 220434125453152