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223221003000 = 23353233235087
BaseRepresentation
bin1100111111100100000…
…0100011001011111000
3210100011122200212012120
43033321000203023320
512124124034044000
6250314000441240
722061424135132
oct3177100431370
9710148625176
10223221003000
1186738489476
1237318319220
131808510a438
14ab3809c052
155c16d8b6a0
hex33f90232f8

223221003000 has 128 divisors (see below), whose sum is σ = 726730168320. Its totient is φ = 56937513600.

The previous prime is 223221002989. The next prime is 223221003001. The reversal of 223221003000 is 300122322.

223221003000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232210030003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223221003001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1548544 + ... + 1686543.

It is an arithmetic number, because the mean of its divisors is an integer number (5677579440).

Almost surely, 2223221003000 is an apocalyptic number.

223221003000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223221003000 is an abundant number, since it is smaller than the sum of its proper divisors (503509165320).

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

223221003000 is a wasteful number, since it uses less digits than its factorization.

223221003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235134 (or 3235120 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 223221003000 its reverse (300122322), we get a palindrome (223521125322).

The spelling of 223221003000 in words is "two hundred twenty-three billion, two hundred twenty-one million, three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 690 750 920 1000 1150 1380 1500 1725 2300 2760 2875 3000 3450 4600 5750 6900 8625 11500 13800 17250 23000 34500 69000 3235087 6470174 9705261 12940348 16175435 19410522 25880696 32350870 38821044 48526305 64701740 74407001 77642088 80877175 97052610 129403480 148814002 161754350 194105220 223221003 242631525 297628004 323508700 372035005 388210440 404385875 446442006 485263050 595256008 647017400 744070010 808771750 892884012 970526100 1116105015 1213157625 1488140020 1617543500 1785768024 1860175025 1941052200 2232210030 2426315250 2976280040 3235087000 3720350050 4464420060 4852630500 5580525075 7440700100 8928840120 9300875125 9705261000 11161050150 14881400200 18601750250 22322100300 27902625375 37203500500 44644200600 55805250750 74407001000 111610501500 223221003000