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232022012220 = 223351725274729
BaseRepresentation
bin1101100000010110010…
…1101111000100111100
3211011220000100110012000
43120011211233010330
512300140113342340
6254331152542300
722522502364135
oct3300545570474
9734800313160
10232022012220
118a444416a09
1238b73851990
1318b585978bb
14b330cb4c8c
15607e85cd30
hex360596f13c

232022012220 has 96 divisors (see below), whose sum is σ = 764307835200. Its totient is φ = 58232973312.

The previous prime is 232022012213. The next prime is 232022012227. The reversal of 232022012220 is 22210220232.

232022012220 is a `hidden beast` number, since 2 + 320 + 220 + 122 + 2 + 0 = 666.

232022012220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232022012213) and next prime (232022012227).

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 = 232022012193 and 232022012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232022012227) 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, 12628185 + ... + 12646544.

It is an arithmetic number, because the mean of its divisors is an integer number (7961539950).

Almost surely, 2232022012220 is an apocalyptic number.

232022012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232022012220 is an abundant number, since it is smaller than the sum of its proper divisors (532285822980).

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

232022012220 is a wasteful number, since it uses less digits than its factorization.

232022012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25274764 (or 25274756 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 232022012220 its reverse (22210220232), we get a palindrome (254232232452).

The spelling of 232022012220 in words is "two hundred thirty-two billion, twenty-two million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 25274729 50549458 75824187 101098916 126373645 151648374 227472561 252747290 303296748 379120935 429670393 454945122 505494580 682417683 758241870 859340786 909890244 1137362805 1289011179 1364835366 1516483740 1718681572 2148351965 2274725610 2578022358 2729670732 3412088415 3867033537 4296703930 4549451220 5156044716 6445055895 6824176830 7734067074 8593407860 11601100611 12890111790 13648353660 15468134148 19335167685 23202201222 25780223580 38670335370 46404402444 58005503055 77340670740 116011006110 232022012220