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212089696 = 25713173421
BaseRepresentation
bin11001010010000…
…11101101100000
3112210002021100221
430221003231200
5413243332241
633013452424
75153506210
oct1451035540
9483067327
10212089696
11a97a0145
125b041114
1334c2b080
142024c240
15139465d1
hexca43b60

212089696 has 96 divisors (see below), whose sum is σ = 518107968. Its totient is φ = 83220480.

The previous prime is 212089687. The next prime is 212089699. The reversal of 212089696 is 696980212.

212089696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212089699) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503566 + ... + 503986.

It is an arithmetic number, because the mean of its divisors is an integer number (5396958).

Almost surely, 2212089696 is an apocalyptic number.

212089696 is a gapful number since it is divisible by the number (26) 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 212089696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259053984).

212089696 is an abundant number, since it is smaller than the sum of its proper divisors (306018272).

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

212089696 is a wasteful number, since it uses less digits than its factorization.

212089696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 212089696 is about 14563.2996261150. The cubic root of 212089696 is about 596.3572771887.

The spelling of 212089696 in words is "two hundred twelve million, eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 173 182 208 224 346 364 416 421 692 728 842 1211 1384 1456 1684 2249 2422 2768 2912 2947 3368 4498 4844 5473 5536 5894 6736 8996 9688 10946 11788 13472 15743 17992 19376 21892 23576 31486 35984 38311 38752 43784 47152 62972 71968 72833 76622 87568 94304 125944 145666 153244 175136 251888 291332 306488 503776 509831 582664 612976 946829 1019662 1165328 1225952 1893658 2039324 2330656 3787316 4078648 6627803 7574632 8157296 13255606 15149264 16314592 26511212 30298528 53022424 106044848 212089696