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212223021332 = 227223411148219
BaseRepresentation
bin1100010110100101111…
…0100101000100010100
3202021210012001111121012
43011221132211010110
511434113043140312
6241254403511352
721222040626500
oct3055136450424
9667705044535
10212223021332
11820043aa023
1235169088558
131702173b68a
14a3b3595300
1557c159a322
hex31697a5114

212223021332 has 72 divisors (see below), whose sum is σ = 461804898240. Its totient is φ = 84876274560.

The previous prime is 212223021317. The next prime is 212223021337. The reversal of 212223021332 is 233120322212.

It is a super-2 number, since 2×2122230213322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 212223021298 and 212223021307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212223021337) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 389282 + ... + 758937.

It is an arithmetic number, because the mean of its divisors is an integer number (6413956920).

Almost surely, 2212223021332 is an apocalyptic number.

It is an amenable number.

212223021332 is an abundant number, since it is smaller than the sum of its proper divisors (249581876908).

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

212223021332 is a wasteful number, since it uses less digits than its factorization.

212223021332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148301 (or 1148292 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 212223021332 its reverse (233120322212), we get a palindrome (445343343544).

The spelling of 212223021332 in words is "two hundred twelve billion, two hundred twenty-three million, twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 41 46 49 82 92 98 161 164 196 287 322 574 644 943 1127 1148 1886 2009 2254 3772 4018 4508 6601 8036 13202 26404 46207 92414 184828 1148219 2296438 4592876 8037533 16075066 26409037 32150132 47076979 52818074 56262731 94153958 105636148 112525462 184863259 188307916 225050924 329538853 369726518 659077706 739453036 1082770517 1294042813 1318155412 2165541034 2306771971 2588085626 4331082068 4613543942 5176171252 7579393619 9227087884 15158787238 30317574476 53055755333 106111510666 212223021332