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212907464 = 237111918191
BaseRepresentation
bin11001011000010…
…11010111001000
3112211121211010122
430230023113020
5414001014324
633043202412
75163453320
oct1454132710
9484554118
10212907464
11aa1a9590
125b376408
1335156363
14203c2280
1513a58a5e
hexcb0b5c8

212907464 has 64 divisors (see below), whose sum is σ = 523929600. Its totient is φ = 78580800.

The previous prime is 212907451. The next prime is 212907479. The reversal of 212907464 is 464709212.

It is a super-2 number, since 2×2129074642 = 90659176453822592, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2609 + ... + 20799.

It is an arithmetic number, because the mean of its divisors is an integer number (8186400).

Almost surely, 2212907464 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 212907464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261964800).

212907464 is an abundant number, since it is smaller than the sum of its proper divisors (311022136).

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

212907464 is a wasteful number, since it uses less digits than its factorization.

212907464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18234 (or 18230 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 212907464 is about 14591.3489438091. The cubic root of 212907464 is about 597.1227653299.

The spelling of 212907464 in words is "two hundred twelve million, nine hundred seven thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 308 418 532 616 836 1064 1463 1672 2926 5852 11704 18191 36382 72764 127337 145528 200101 254674 345629 400202 509348 691258 800404 1018696 1382516 1400707 1600808 2419403 2765032 2801414 3801919 4838806 5602828 7603838 9677612 11205656 15207676 19355224 26613433 30415352 53226866 106453732 212907464