Search a number
-
+
232222022120 = 235111573361639
BaseRepresentation
bin1101100001000110000…
…0101101100111101000
3211012101221201000012002
43120101200231213220
512301042314201440
6254403055510132
722530451422314
oct3302140554750
9735357630162
10232222022120
118a537306350
123900a828348
1318b8ab5655a
14b34d69ab44
1560921ba115
hex361182d9e8

232222022120 has 64 divisors (see below), whose sum is σ = 573630249600. Its totient is φ = 83906484480.

The previous prime is 232222022113. The next prime is 232222022141. The reversal of 232222022120 is 21220222232.

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 = 232222022092 and 232222022101.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1611740 + ... + 1749899.

It is an arithmetic number, because the mean of its divisors is an integer number (8962972650).

Almost surely, 2232222022120 is an apocalyptic number.

232222022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232222022120 is an abundant number, since it is smaller than the sum of its proper divisors (341408227480).

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

232222022120 is a wasteful number, since it uses less digits than its factorization.

232222022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361818 (or 3361814 counting only the distinct ones).

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

Adding to 232222022120 its reverse (21220222232), we get a palindrome (253442244352).

The spelling of 232222022120 in words is "two hundred thirty-two billion, two hundred twenty-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 157 220 314 440 628 785 1256 1570 1727 3140 3454 6280 6908 8635 13816 17270 34540 69080 3361639 6723278 13446556 16808195 26893112 33616390 36978029 67232780 73956058 134465560 147912116 184890145 295824232 369780290 527777323 739560580 1055554646 1479121160 2111109292 2638886615 4222218584 5277773230 5805550553 10555546460 11611101106 21111092920 23222202212 29027752765 46444404424 58055505530 116111011060 232222022120