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4220946972 = 22321161174737
BaseRepresentation
bin1111101110010110…
…1000101000011100
3101220011110022201100
43323211220220130
532121030300342
61534501313100
7206412312564
oct37345505034
911804408640
104220946972
111876683a30
12999705790
13523631178
142c0829da4
1519a86ae4c
hexfb968a1c

4220946972 has 72 divisors (see below), whose sum is σ = 11830461552. Its totient is φ = 1258099200.

The previous prime is 4220946967. The next prime is 4220946979. The reversal of 4220946972 is 2796490224.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220946979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63213 + ... + 111524.

It is an arithmetic number, because the mean of its divisors is an integer number (164311966).

Almost surely, 24220946972 is an apocalyptic number.

It is an amenable number.

4220946972 is an abundant number, since it is smaller than the sum of its proper divisors (7609514580).

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

4220946972 is a wasteful number, since it uses less digits than its factorization.

4220946972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174819 (or 174814 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4220946972 is about 64968.8153809195. The cubic root of 4220946972 is about 1616.1064567118.

The spelling of 4220946972 in words is "four billion, two hundred twenty million, nine hundred forty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 122 132 183 198 244 366 396 549 671 732 1098 1342 2013 2196 2684 4026 6039 8052 12078 24156 174737 349474 524211 698948 1048422 1572633 1922107 2096844 3145266 3844214 5766321 6290532 7688428 10658957 11532642 17298963 21317914 23065284 31976871 34597926 42635828 63953742 69195852 95930613 117248527 127907484 191861226 234497054 351745581 383722452 468994108 703491162 1055236743 1406982324 2110473486 4220946972