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212212133232 = 243113023132953
BaseRepresentation
bin1100010110100011010…
…1000010110101110000
3202021202102120022221020
43011220311002311300
511434102301230412
6241253334255440
721221546240661
oct3055065026560
9667672508836
10212212133232
1181aa92426a0
12351654b7580
131701c3c8808
14a3b1d5d368
1557c064918c
hex3168d42d70

212212133232 has 80 divisors (see below), whose sum is σ = 598254709248. Its totient is φ = 64284951040.

The previous prime is 212212133213. The next prime is 212212133269. The reversal of 212212133232 is 232331212212.

It is a super-2 number, since 2×2122121332322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 1529668 + ... + 1662620.

Almost surely, 2212212133232 is an apocalyptic number.

212212133232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212212133232 is an abundant number, since it is smaller than the sum of its proper divisors (386042576016).

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

212212133232 is a wasteful number, since it uses less digits than its factorization.

212212133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135998 (or 135992 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 212212133232 its reverse (232331212212), we get a palindrome (444543345444).

The spelling of 212212133232 in words is "two hundred twelve billion, two hundred twelve million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 3023 6046 9069 12092 18138 24184 33253 36276 48368 66506 72552 99759 132953 133012 145104 199518 265906 266024 398859 399036 531812 532048 797718 798072 1063624 1462483 1595436 1596144 2127248 2924966 3190872 4387449 5849932 6381744 8774898 11699864 17549796 23399728 35099592 70199184 401916919 803833838 1205750757 1607667676 2411501514 3215335352 4421086109 4823003028 6430670704 8842172218 9646006056 13263258327 17684344436 19292012112 26526516654 35368688872 53053033308 70737377744 106106066616 212212133232