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253126632220 = 2257111071536149
BaseRepresentation
bin1110101110111110000…
…1011110001100011100
3220012100211102020012121
43223233201132030130
513121400404212340
6312141302112324
724200466605410
oct3535741361434
9805324366177
10253126632220
1198394426320
124108371b6a4
131ab3ca80027
14c373b7cd40
1568b757394a
hex3aef85e31c

253126632220 has 96 divisors (see below), whose sum is σ = 668925734400. Its totient is φ = 78159210240.

The previous prime is 253126632217. The next prime is 253126632271. The reversal of 253126632220 is 22236621352.

253126632220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2531266322204 (a number of 47 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 603295 + ... + 932854.

It is an arithmetic number, because the mean of its divisors is an integer number (6967976400).

Almost surely, 2253126632220 is an apocalyptic number.

253126632220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253126632220 is an abundant number, since it is smaller than the sum of its proper divisors (415799102180).

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

253126632220 is a wasteful number, since it uses less digits than its factorization.

253126632220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536283 (or 1536281 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 253126632220 in words is "two hundred fifty-three billion, one hundred twenty-six million, six hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 107 110 140 154 214 220 308 385 428 535 749 770 1070 1177 1498 1540 2140 2354 2996 3745 4708 5885 7490 8239 11770 14980 16478 23540 32956 41195 82390 164780 1536149 3072298 6144596 7680745 10753043 15361490 16897639 21506086 30722980 33795278 43012172 53765215 67590556 84488195 107530430 118283473 164367943 168976390 215060860 236566946 328735886 337952780 473133892 591417365 657471772 821839715 1150575601 1182834730 1643679430 1808047373 2301151202 2365669460 3287358860 3616094746 4602302404 5752878005 7232189492 9040236865 11505756010 12656331611 18080473730 23011512020 25312663222 36160947460 50625326444 63281658055 126563316110 253126632220