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221300625047000 = 23531812514871137
BaseRepresentation
bin110010010100010110010001…
…001001001111110111011000
31002000120010121001120200202012
4302110112101021033313120
5213001242140003001000
62102400034220125052
764420304534666432
oct6224262111176730
91060503531520665
10221300625047000
11645710825a8644
12209a1663696788
139663736cc5335
143c91016453652
151a8b80cb64735
hexc9459124fdd8

221300625047000 has 128 divisors (see below), whose sum is σ = 522779103362880. Its totient is φ = 87680448000000.

The previous prime is 221300625046979. The next prime is 221300625047059. The reversal of 221300625047000 is 740526003122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42995432 + ... + 47866568.

Almost surely, 2221300625047000 is an apocalyptic number.

221300625047000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221300625047000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261389551681440).

221300625047000 is an abundant number, since it is smaller than the sum of its proper divisors (301478478315880).

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

221300625047000 is a wasteful number, since it uses less digits than its factorization.

221300625047000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4871590 (or 4871576 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 221300625047000 in words is "two hundred twenty-one trillion, three hundred billion, six hundred twenty-five million, forty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 181 200 250 251 362 500 502 724 905 1000 1004 1255 1448 1810 2008 2510 3620 4525 5020 6275 7240 9050 10040 12550 18100 22625 25100 31375 36200 45250 45431 50200 62750 90500 90862 125500 181000 181724 227155 251000 363448 454310 908620 1135775 1817240 2271550 4543100 4871137 5678875 9086200 9742274 11357750 19484548 22715500 24355685 38969096 45431000 48711370 97422740 121778425 194845480 243556850 487113700 608892125 881675797 974227400 1217784250 1222655387 1763351594 2435568500 2445310774 3526703188 4408378985 4871137000 4890621548 6113276935 7053406376 8816757970 9781243096 12226553870 17633515940 22041894925 24453107740 30566384675 35267031880 44083789850 48906215480 61132769350 88167579700 110209474625 122265538700 152831923375 176335159400 220418949250 221300625047 244531077400 305663846750 440837898500 442601250094 611327693500 881675797000 885202500188 1106503125235 1222655387000 1770405000376 2213006250470 4426012500940 5532515626175 8852025001880 11065031252350 22130062504700 27662578130875 44260125009400 55325156261750 110650312523500 221300625047000