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3322132020 = 2232547675861
BaseRepresentation
bin1100011000000011…
…1011011000110100
322120112011210101200
43012000323120310
523300431211040
61305352452500
7145216441044
oct30600733064
98515153350
103322132020
111455290a59
127886aa130
1340c360cbc
142372db724
151469c5630
hexc603b634

3322132020 has 144 divisors (see below), whose sum is σ = 10446928128. Its totient is φ = 853966080.

The previous prime is 3322132001. The next prime is 3322132049. The reversal of 3322132020 is 202312233.

It is a happy number.

3322132020 is a `hidden beast` number, since 3 + 322 + 1 + 320 + 20 = 666.

It is a super-2 number, since 2×33221320202 = 22073122316618560800, which contains 22 as substring.

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 = 3322131984 and 3322132002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563890 + ... + 569750.

It is an arithmetic number, because the mean of its divisors is an integer number (72548112).

Almost surely, 23322132020 is an apocalyptic number.

3322132020 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 3322132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5223464064).

3322132020 is an abundant number, since it is smaller than the sum of its proper divisors (7124796108).

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

3322132020 is a wasteful number, since it uses less digits than its factorization.

3322132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5990 (or 5985 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3322132020 is about 57637.9390679438. The cubic root of 3322132020 is about 1492.1264504567.

Adding to 3322132020 its reverse (202312233), we get a palindrome (3524444253).

The spelling of 3322132020 in words is "three billion, three hundred twenty-two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 67 90 94 134 141 180 188 201 235 268 282 335 402 423 470 564 603 670 705 804 846 940 1005 1206 1340 1410 1692 2010 2115 2412 2820 3015 3149 4020 4230 5861 6030 6298 8460 9447 11722 12060 12596 15745 17583 18894 23444 28341 29305 31490 35166 37788 47235 52749 56682 58610 62980 70332 87915 94470 105498 113364 117220 141705 175830 188940 210996 263745 275467 283410 351660 392687 527490 550934 566820 785374 826401 1054980 1101868 1178061 1377335 1570748 1652802 1963435 2356122 2479203 2754670 3305604 3534183 3926870 4132005 4712244 4958406 5509340 5890305 7068366 7853740 8264010 9916812 11780610 12396015 14136732 16528020 17670915 18456289 23561220 24792030 35341830 36912578 49584060 55368867 70683660 73825156 92281445 110737734 166106601 184562890 221475468 276844335 332213202 369125780 553688670 664426404 830533005 1107377340 1661066010 3322132020