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212220144 = 24322989571
BaseRepresentation
bin11001010011000…
…11100011110000
3112210022220022100
430221203203300
5413312021034
633020340400
75154561423
oct1451434360
9483286270
10212220144
11a987a154
125b0a4700
1334c75566
14202839ba
1513970099
hexca638f0

212220144 has 120 divisors (see below), whose sum is σ = 622393200. Its totient is φ = 67415040.

The previous prime is 212220143. The next prime is 212220157. The reversal of 212220144 is 441022212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212220143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371379 + ... + 371949.

It is an arithmetic number, because the mean of its divisors is an integer number (5186610).

Almost surely, 2212220144 is an apocalyptic number.

212220144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311196600).

212220144 is an abundant number, since it is smaller than the sum of its proper divisors (410173056).

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

212220144 is a wasteful number, since it uses less digits than its factorization.

212220144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 212220144 is about 14567.7775930304. Note that the first 3 decimals coincide. The cubic root of 212220144 is about 596.4795174040.

Adding to 212220144 its reverse (441022212), we get a palindrome (653242356).

The spelling of 212220144 in words is "two hundred twelve million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 89 116 144 174 178 232 261 267 348 356 464 522 534 571 696 712 801 1044 1068 1142 1392 1424 1602 1713 2088 2136 2284 2581 3204 3426 4176 4272 4568 5139 5162 6408 6852 7743 9136 10278 10324 12816 13704 15486 16559 20556 20648 23229 27408 30972 33118 41112 41296 46458 49677 50819 61944 66236 82224 92916 99354 101638 123888 132472 149031 152457 185832 198708 203276 264944 298062 304914 371664 397416 406552 457371 596124 609828 794832 813104 914742 1192248 1219656 1473751 1829484 2384496 2439312 2947502 3658968 4421253 5895004 7317936 8842506 11790008 13263759 17685012 23580016 26527518 35370024 53055036 70740048 106110072 212220144