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3233230020 = 223455337657
BaseRepresentation
bin1100000010110111…
…0010110011000100
322100022220002210000
43000231302303010
523110201330040
61252455201300
7143060000406
oct30055626304
98308802700
103233230020
11140a08a629
12762976230
133c6b04a77
14229598b76
1513dcb4130
hexc0b72cc4

3233230020 has 120 divisors (see below), whose sum is σ = 10334409624. Its totient is φ = 845904384.

The previous prime is 3233229973. The next prime is 3233230067. The reversal of 3233230020 is 200323323.

3233230020 is a `hidden beast` number, since 32 + 332 + 300 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3233229973) and next prime (3233230067).

It can be written as a sum of positive squares in 4 ways, for example, as 1031180544 + 2202049476 = 32112^2 + 46926^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3233229975 and 3233230002.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67032 + ... + 104688.

Almost surely, 23233230020 is an apocalyptic number.

3233230020 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 3233230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5167204812).

3233230020 is an abundant number, since it is smaller than the sum of its proper divisors (7101179604).

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

3233230020 is a wasteful number, since it uses less digits than its factorization.

3233230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37731 (or 37720 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 3233230020 is about 56861.4985732877. The cubic root of 3233230020 is about 1478.6958959042.

Adding to 3233230020 its reverse (200323323), we get a palindrome (3433553343).

The spelling of 3233230020 in words is "three billion, two hundred thirty-three million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 81 90 106 108 135 159 162 180 212 265 270 318 324 405 477 530 540 636 795 810 954 1060 1431 1590 1620 1908 2385 2862 3180 4293 4770 5724 7155 8586 9540 14310 17172 21465 28620 37657 42930 75314 85860 112971 150628 188285 225942 338913 376570 451884 564855 677826 753140 1016739 1129710 1355652 1694565 1995821 2033478 2259420 3050217 3389130 3991642 4066956 5083695 5987463 6100434 6778260 7983284 9979105 10167390 11974926 12200868 15251085 17962389 19958210 20334780 23949852 29937315 30502170 35924778 39916420 53887167 59874630 61004340 71849556 89811945 107774334 119749260 161661501 179623890 215548668 269435835 323323002 359247780 538871670 646646004 808307505 1077743340 1616615010 3233230020