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33224421000 = 2335321315197
BaseRepresentation
bin11110111100010101…
…000110111010001000
310011202110121110110010
4132330111012322020
51021020422433000
623132454351520
72254221630111
oct367425067210
9104673543403
1033224421000
11130aa357281
12653295b5a0
133196404414
14187278d208
15ce6c4cd50
hex7bc546e88

33224421000 has 128 divisors (see below), whose sum is σ = 103728792960. Its totient is φ = 8853984000.

The previous prime is 33224420993. The next prime is 33224421029. The reversal of 33224421000 is 12442233.

It is a super-2 number, since 2×332244210002 (a number of 22 digits) contains 22 as substring.

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, 6390402 + ... + 6395598.

It is an arithmetic number, because the mean of its divisors is an integer number (810381195).

Almost surely, 233224421000 is an apocalyptic number.

33224421000 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 33224421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51864396480).

33224421000 is an abundant number, since it is smaller than the sum of its proper divisors (70504371960).

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

33224421000 is a wasteful number, since it uses less digits than its factorization.

33224421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7352 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 33224421000 its reverse (12442233), we get a palindrome (33236863233).

The spelling of 33224421000 in words is "thirty-three billion, two hundred twenty-four million, four hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2131 3000 4262 5197 6393 8524 10394 10655 12786 15591 17048 20788 21310 25572 25985 31182 31965 41576 42620 51144 51970 53275 62364 63930 77955 85240 103940 106550 124728 127860 129925 155910 159825 207880 213100 255720 259850 266375 311820 319650 389775 426200 519700 532750 623640 639300 649625 779550 799125 1039400 1065500 1278600 1299250 1559100 1598250 1948875 2131000 2598500 3118200 3196500 3897750 5197000 6393000 7795500 11074807 15591000 22149614 33224421 44299228 55374035 66448842 88598456 110748070 132897684 166122105 221496140 265795368 276870175 332244210 442992280 553740350 664488420 830610525 1107480700 1328976840 1384350875 1661221050 2214961400 2768701750 3322442100 4153052625 5537403500 6644884200 8306105250 11074807000 16612210500 33224421000