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212608872 = 233272318341
BaseRepresentation
bin11001010110000…
…10011101101000
3112211001122112200
430223002131220
5413411440442
633032540200
75161100640
oct1453023550
9484048480
10212608872
11aa015213
125b251660
1335080488
1420345520
15139ea34c
hexcac2768

212608872 has 96 divisors (see below), whose sum is σ = 686724480. Its totient is φ = 58101120.

The previous prime is 212608843. The next prime is 212608873. The reversal of 212608872 is 278806212.

It is a happy number.

It is a super-2 number, since 2×2126088722 = 90405064906224768, which contains 22 as substring.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212608873) 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, 2422 + ... + 20762.

It is an arithmetic number, because the mean of its divisors is an integer number (7153380).

Almost surely, 2212608872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212608872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343362240).

212608872 is an abundant number, since it is smaller than the sum of its proper divisors (474115608).

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

212608872 is a wasteful number, since it uses less digits than its factorization.

212608872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18383 (or 18376 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 212608872 is about 14581.1135377241. The cubic root of 212608872 is about 596.8434898600.

The spelling of 212608872 in words is "two hundred twelve million, six hundred eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11592 18341 36682 55023 73364 110046 128387 146728 165069 220092 256774 330138 385161 421843 440184 513548 660276 770322 843686 1027096 1155483 1265529 1320552 1540644 1687372 2310966 2531058 2952901 3081288 3374744 3796587 4621932 5062116 5905802 7593174 8858703 9243864 10124232 11811604 15186348 17717406 23623208 26576109 30372696 35434812 53152218 70869624 106304436 212608872