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52232220 = 22325439661
BaseRepresentation
bin1100011101000…
…0000000011100
310122021200010200
43013100000130
5101332412340
65103303500
71202652345
oct307200034
9118250120
1052232220
1127535927
12155aab90
13aa8a451
146d190cc
1548bb330
hex31d001c

52232220 has 72 divisors (see below), whose sum is σ = 159038880. Its totient is φ = 13875840.

The previous prime is 52232183. The next prime is 52232239. The reversal of 52232220 is 2223225.

It is a super-2 number, since 2×522322202 = 5456409612256800, 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 = 52232193 and 52232202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78690 + ... + 79350.

Almost surely, 252232220 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 52232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79519440).

52232220 is an abundant number, since it is smaller than the sum of its proper divisors (106806660).

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

52232220 is a wasteful number, since it uses less digits than its factorization.

52232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 52232220 is about 7227.1861744388. The cubic root of 52232220 is about 373.8059084233.

Adding to 52232220 its reverse (2223225), we get a palindrome (54455445).

The spelling of 52232220 in words is "fifty-two million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 439 661 878 1317 1322 1756 1983 2195 2634 2644 3305 3951 3966 4390 5268 5949 6585 6610 7902 7932 8780 9915 11898 13170 13220 15804 19755 19830 23796 26340 29745 39510 39660 59490 79020 118980 290179 580358 870537 1160716 1450895 1741074 2611611 2901790 3482148 4352685 5223222 5803580 8705370 10446444 13058055 17410740 26116110 52232220