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4232212220 = 22517431372113
BaseRepresentation
bin1111110001000010…
…0110111011111100
3101220221122122201202
43330100212323330
532131421242340
61535542555032
7206610132065
oct37420467374
911827578652
104232212220
111881a78755
129a1438a78
13525a768b2
142c211d56c
1519b843c15
hexfc426efc

4232212220 has 96 divisors (see below), whose sum is σ = 9704173248. Its totient is φ = 1544159232.

The previous prime is 4232212213. The next prime is 4232212223. The reversal of 4232212220 is 222122324.

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 = 4232212192 and 4232212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4232212223) 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, 2001884 + ... + 2003996.

It is an arithmetic number, because the mean of its divisors is an integer number (101085138).

Almost surely, 24232212220 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 4232212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852086624).

4232212220 is an abundant number, since it is smaller than the sum of its proper divisors (5471961028).

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

4232212220 is a wasteful number, since it uses less digits than its factorization.

4232212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4232212220 is about 65055.4549595958. The cubic root of 4232212220 is about 1617.5429169543.

Adding to 4232212220 its reverse (222122324), we get a palindrome (4454334544).

The spelling of 4232212220 in words is "four billion, two hundred thirty-two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 137 170 172 215 274 340 430 548 685 731 860 1370 1462 2113 2329 2740 2924 3655 4226 4658 5891 7310 8452 9316 10565 11645 11782 14620 21130 23290 23564 29455 35921 42260 46580 58910 71842 90859 100147 117820 143684 179605 181718 200294 289481 359210 363436 400588 454295 500735 578962 718420 908590 1001470 1157924 1447405 1544603 1817180 2002940 2894810 3089206 4921177 5789620 6178412 7723015 9842354 12447683 15446030 19684708 24605885 24895366 30892060 49211770 49790732 62238415 98423540 124476830 211610611 248953660 423221222 846442444 1058053055 2116106110 4232212220