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212980068 = 223272120737
BaseRepresentation
bin11001011000111…
…01000101100100
3112211202111201200
430230131011210
5414010330233
633044522500
75164205100
oct1454350544
9484674650
10212980068
11aa249094
125b3b0430
1335180412
1420400900
1513a70313
hexcb1d164

212980068 has 54 divisors (see below), whose sum is σ = 626268006. Its totient is φ = 60850944.

The previous prime is 212980067. The next prime is 212980073. The reversal of 212980068 is 860089212.

It can be written as a sum of positive squares in only one way, i.e., 208744704 + 4235364 = 14448^2 + 2058^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (212980067) 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 17 ways as a sum of consecutive naturals, for example, 58605 + ... + 62132.

Almost surely, 2212980068 is an apocalyptic number.

212980068 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

212980068 is an abundant number, since it is smaller than the sum of its proper divisors (413287938).

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

212980068 is a wasteful number, since it uses less digits than its factorization.

212980068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120761 (or 120749 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 212980068 is about 14593.8366442824. The cubic root of 212980068 is about 597.1906329586.

The spelling of 212980068 in words is "two hundred twelve million, nine hundred eighty thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 120737 241474 362211 482948 724422 845159 1086633 1448844 1690318 2173266 2535477 3380636 4346532 5070954 5916113 7606431 10141908 11832226 15212862 17748339 23664452 30425724 35496678 53245017 70993356 106490034 212980068