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3223221000 = 233534572351
BaseRepresentation
bin1100000000011110…
…0111001100001000
322022122001120222120
43000013213030020
523100121033000
61251500451240
7142605632526
oct30007471410
98278046876
103223221000
11140447370a
1275b549b20
133c4a0c07c
14228111316
1513ce886a0
hexc01e7308

3223221000 has 128 divisors (see below), whose sum is σ = 10082741760. Its totient is φ = 857280000.

The previous prime is 3223220977. The next prime is 3223221017. The reversal of 3223221000 is 1223223.

It is a super-2 number, since 2×32232210002 = 20778307229682000000, which contains 22 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, 1369825 + ... + 1372175.

It is an arithmetic number, because the mean of its divisors is an integer number (78771420).

Almost surely, 23223221000 is an apocalyptic number.

3223221000 is a gapful number since it is divisible by the number (30) 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 3223221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041370880).

3223221000 is an abundant number, since it is smaller than the sum of its proper divisors (6859520760).

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

3223221000 is a wasteful number, since it uses less digits than its factorization.

3223221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2818 counting only the distinct ones).

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

The square root of 3223221000 is about 56773.4180757157. The cubic root of 3223221000 is about 1477.1684661293.

Adding to 3223221000 its reverse (1223223), we get a palindrome (3224444223).

The spelling of 3223221000 in words is "three billion, two hundred twenty-three million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 457 500 600 750 914 1000 1371 1500 1828 2285 2351 2742 3000 3656 4570 4702 5484 6855 7053 9140 9404 10968 11425 11755 13710 14106 18280 18808 22850 23510 27420 28212 34275 35265 45700 47020 54840 56424 57125 58775 68550 70530 91400 94040 114250 117550 137100 141060 171375 176325 228500 235100 274200 282120 293875 342750 352650 457000 470200 587750 685500 705300 881625 1074407 1175500 1371000 1410600 1763250 2148814 2351000 3223221 3526500 4297628 5372035 6446442 7053000 8595256 10744070 12892884 16116105 21488140 25785768 26860175 32232210 42976280 53720350 64464420 80580525 107440700 128928840 134300875 161161050 214881400 268601750 322322100 402902625 537203500 644644200 805805250 1074407000 1611610500 3223221000