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212764134 = 231137151577
BaseRepresentation
bin11001010111010…
…00010111100110
3112211100112112010
430223220113212
5413431423014
633040135050
75162315412
oct1453502746
9484315463
10212764134
11aa110930
125b307486
133510604b
1420385d42
1513a2b359
hexcae85e6

212764134 has 64 divisors (see below), whose sum is σ = 480748032. Its totient is φ = 62208000.

The previous prime is 212764133. The next prime is 212764169. The reversal of 212764134 is 431467212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212764133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368454 + ... + 369030.

It is an arithmetic number, because the mean of its divisors is an integer number (7511688).

Almost surely, 2212764134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212764134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240374016).

212764134 is an abundant number, since it is smaller than the sum of its proper divisors (267983898).

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

212764134 is a wasteful number, since it uses less digits than its factorization.

212764134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781.

The product of its digits is 8064, while the sum is 30.

The square root of 212764134 is about 14586.4366450480. The cubic root of 212764134 is about 596.9887402515.

The spelling of 212764134 in words is "two hundred twelve million, seven hundred sixty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 151 222 302 407 453 577 814 906 1154 1221 1661 1731 2442 3322 3462 4983 5587 6347 9966 11174 12694 16761 19041 21349 33522 38082 42698 61457 64047 87127 122914 128094 174254 184371 234839 261381 368742 469678 522762 704517 958397 1409034 1916794 2875191 3223699 5750382 6447398 9671097 19342194 35460689 70921378 106382067 212764134