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232423020 = 22345532707
BaseRepresentation
bin11011101101001…
…11111001101100
3121012100022110000
431312213321230
5434000014040
635021344300
75521364064
oct1566477154
9535308400
10232423020
1110a218945
1265a08090
13391ca11b
1422c223a4
1515611130
hexdda7e6c

232423020 has 120 divisors (see below), whose sum is σ = 743151024. Its totient is φ = 60787584.

The previous prime is 232423019. The next prime is 232423039. The reversal of 232423020 is 20324232.

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 = 232422984 and 232423002.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84507 + ... + 87213.

Almost surely, 2232423020 is an apocalyptic number.

232423020 is a gapful number since it is divisible by the number (20) 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 232423020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371575512).

232423020 is an abundant number, since it is smaller than the sum of its proper divisors (510728004).

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

232423020 is a wasteful number, since it uses less digits than its factorization.

232423020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 232423020 is about 15245.4261993557. The cubic root of 232423020 is about 614.8366014449.

Adding to 232423020 its reverse (20324232), we get a palindrome (252747252).

It can be divided in two parts, 23242 and 3020, that added together give a palindrome (26262).

The spelling of 232423020 in words is "two hundred thirty-two million, four hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 81 90 106 108 135 159 162 180 212 265 270 318 324 405 477 530 540 636 795 810 954 1060 1431 1590 1620 1908 2385 2707 2862 3180 4293 4770 5414 5724 7155 8121 8586 9540 10828 13535 14310 16242 17172 21465 24363 27070 28620 32484 40605 42930 48726 54140 73089 81210 85860 97452 121815 143471 146178 162420 219267 243630 286942 292356 365445 430413 438534 487260 573884 717355 730890 860826 877068 1096335 1291239 1434710 1461780 1721652 2152065 2192670 2582478 2869420 3873717 4304130 4385340 5164956 6456195 7747434 8608260 11621151 12912390 15494868 19368585 23242302 25824780 38737170 46484604 58105755 77474340 116211510 232423020