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33132022220 = 225113716324971
BaseRepresentation
bin11110110110110100…
…101000100111001100
310011112000202010011002
4132312310220213030
51020323244202340
623115354115432
72252020353653
oct366664504714
9104460663132
1033132022220
1113062187750
126507a1bb78
13318022269b
1418643ba19a
15cdda9a715
hex7b6d289cc

33132022220 has 96 divisors (see below), whose sum is σ = 78435254016. Its totient is φ = 11650003200.

The previous prime is 33132022219. The next prime is 33132022229. The reversal of 33132022220 is 2222023133.

It is a super-3 number, since 3×331320222203 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33132022192 and 33132022201.

It is not an unprimeable number, because it can be changed into a prime (33132022229) 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, 1314335 + ... + 1339305.

It is an arithmetic number, because the mean of its divisors is an integer number (817033896).

Almost surely, 233132022220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33132022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39217627008).

33132022220 is an abundant number, since it is smaller than the sum of its proper divisors (45303231796).

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

33132022220 is a wasteful number, since it uses less digits than its factorization.

33132022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25191 (or 25189 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 33132022220 its reverse (2222023133), we get a palindrome (35354045353).

The spelling of 33132022220 in words is "thirty-three billion, one hundred thirty-two million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 163 185 220 326 370 407 652 740 814 815 1628 1630 1793 2035 3260 3586 4070 6031 7172 8140 8965 12062 17930 24124 24971 30155 35860 49942 60310 66341 99884 120620 124855 132682 249710 265364 274681 331705 499420 549362 663410 923927 1098724 1326820 1373405 1847854 2746810 3695708 4070273 4619635 5493620 8140546 9239270 10163197 16281092 18478540 20326394 20351365 40652788 40702730 44773003 50815985 81405460 89546006 101631970 150600101 179092012 203263940 223865015 301200202 447730030 602400404 753000505 895460060 1506001010 1656601111 3012002020 3313202222 6626404444 8283005555 16566011110 33132022220