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223212212132 = 22721387602909
BaseRepresentation
bin1100111111100001111…
…1000000111110100100
3210100011001011020101212
43033320133000332210
512124114311242012
6250313044210552
722061256332600
oct3177037007644
9710131136355
10223212212132
1186733524798
1237315399a58
1318083350040
14ab36c50500
155c16201b22
hex33f87c0fa4

223212212132 has 36 divisors (see below), whose sum is σ = 489349855260. Its totient is φ = 88303731264.

The previous prime is 223212212131. The next prime is 223212212257. The reversal of 223212212132 is 231212212322.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 111620137216 + 111592074916 = 334096^2 + 334054^2 .

It is a super-3 number, since 3×2232122121323 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223212212098 and 223212212107.

It is not an unprimeable number, because it can be changed into a prime (223212212131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43798907 + ... + 43804002.

It is an arithmetic number, because the mean of its divisors is an integer number (13593051535).

Almost surely, 2223212212132 is an apocalyptic number.

It is an amenable number.

223212212132 is an abundant number, since it is smaller than the sum of its proper divisors (266137643128).

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

223212212132 is a wasteful number, since it uses less digits than its factorization.

223212212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87602940 (or 87602931 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

Adding to 223212212132 its reverse (231212212322), we get a palindrome (454424424454).

The spelling of 223212212132 in words is "two hundred twenty-three billion, two hundred twelve million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 87602909 175205818 350411636 613220363 1138837817 1226440726 2277675634 2452881452 4292542541 4555351268 7971864719 8585085082 15943729438 17170170164 31887458876 55803053033 111606106066 223212212132