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223221201000 = 23353710629581
BaseRepresentation
bin1100111111100100000…
…1010011100001101000
3210100011200001220210220
43033321001103201220
512124124111413000
6250314005010040
722061425621320
oct3177101234150
9710150056726
10223221201000
1186738604206
12373183b3920
13180851795b5
14ab38110280
155c16dca1a0
hex33f9053868

223221201000 has 128 divisors (see below), whose sum is σ = 795943100160. Its totient is φ = 51021984000.

The previous prime is 223221200989. The next prime is 223221201029. The reversal of 223221201000 is 102122322.

It is a happy number.

It is a super-3 number, since 3×2232212010003 (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5293791 + ... + 5335790.

It is an arithmetic number, because the mean of its divisors is an integer number (6218305470).

Almost surely, 2223221201000 is an apocalyptic number.

223221201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223221201000 is an abundant number, since it is smaller than the sum of its proper divisors (572721899160).

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

223221201000 is a wasteful number, since it uses less digits than its factorization.

223221201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10629612 (or 10629598 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 223221201000 its reverse (102122322), we get a palindrome (223323323322).

The spelling of 223221201000 in words is "two hundred twenty-three billion, two hundred twenty-one million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 10629581 21259162 31888743 42518324 53147905 63777486 74407067 85036648 106295810 127554972 148814134 159443715 212591620 223221201 255109944 265739525 297628268 318887430 372035335 425183240 446442402 531479050 595256536 637774860 744070670 797218575 892884804 1062958100 1116106005 1275549720 1328697625 1488141340 1594437150 1785769608 1860176675 2125916200 2232212010 2657395250 2976282680 3188874300 3720353350 3986092875 4464424020 5314790500 5580530025 6377748600 7440706700 7972185750 8928848040 9300883375 10629581000 11161060050 14881413400 15944371500 18601766750 22322120100 27902650125 31888743000 37203533500 44644240200 55805300250 74407067000 111610600500 223221201000