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212110056 = 23334143557
BaseRepresentation
bin11001010010010…
…00101011101000
3112210010022022000
430221020223220
5413300010211
633014131000
75153622444
oct1451105350
9483108260
10212110056
11a9804474
125b050a60
1334c37412
1420255824
151394c656
hexca48ae8

212110056 has 128 divisors (see below), whose sum is σ = 618710400. Its totient is φ = 67253760.

The previous prime is 212110001. The next prime is 212110079. The reversal of 212110056 is 650011212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380530 + ... + 381086.

It is an arithmetic number, because the mean of its divisors is an integer number (4833675).

Almost surely, 2212110056 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 212110056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309355200).

212110056 is an abundant number, since it is smaller than the sum of its proper divisors (406600344).

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

212110056 is a wasteful number, since it uses less digits than its factorization.

212110056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 212110056 is about 14563.9986267508. The cubic root of 212110056 is about 596.3763594385.

Adding to 212110056 its reverse (650011212), we get a palindrome (862121268).

The spelling of 212110056 in words is "two hundred twelve million, one hundred ten thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 43 54 72 82 86 108 123 129 164 172 216 246 258 328 344 369 387 492 516 557 738 774 984 1032 1107 1114 1161 1476 1548 1671 1763 2214 2228 2322 2952 3096 3342 3526 4428 4456 4644 5013 5289 6684 7052 8856 9288 10026 10578 13368 14104 15039 15867 20052 21156 22837 23951 30078 31734 40104 42312 45674 47601 47902 60156 63468 68511 71853 91348 95202 95804 120312 126936 137022 143706 182696 190404 191608 205533 215559 274044 287412 380808 411066 431118 548088 574824 616599 646677 822132 862236 981991 1233198 1293354 1644264 1724472 1963982 2466396 2586708 2945973 3927964 4932792 5173416 5891946 7855928 8837919 11783892 17675838 23567784 26513757 35351676 53027514 70703352 106055028 212110056