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210214296 = 233223612081
BaseRepresentation
bin11001000011110…
…01110110011000
3112122112222210200
430201321312120
5412303324141
632505342200
75131535445
oct1441716630
9478488720
10210214296
11a872a126
125a497960
1334722576
141dcc09cc
15136c5ab6
hexc879d98

210214296 has 96 divisors (see below), whose sum is σ = 604113120. Its totient is φ = 65894400.

The previous prime is 210214267. The next prime is 210214313. The reversal of 210214296 is 692412012.

210214296 is a `hidden beast` number, since 210 + 21 + 429 + 6 = 666.

210214296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99976 + ... + 102056.

It is an arithmetic number, because the mean of its divisors is an integer number (6292845).

Almost surely, 2210214296 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 210214296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302056560).

210214296 is an abundant number, since it is smaller than the sum of its proper divisors (393898824).

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

210214296 is a wasteful number, since it uses less digits than its factorization.

210214296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 210214296 is about 14498.7687753133. The cubic root of 210214296 is about 594.5943104624.

The spelling of 210214296 in words is "two hundred ten million, two hundred fourteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 61 69 72 92 122 138 183 184 207 244 276 366 414 488 549 552 732 828 1098 1403 1464 1656 2081 2196 2806 4162 4209 4392 5612 6243 8324 8418 11224 12486 12627 16648 16836 18729 24972 25254 33672 37458 47863 49944 50508 74916 95726 101016 126941 143589 149832 191452 253882 287178 380823 382904 430767 507764 574356 761646 861534 1015528 1142469 1148712 1523292 1723068 2284938 2919643 3046584 3446136 4569876 5839286 8758929 9139752 11678572 17517858 23357144 26276787 35035716 52553574 70071432 105107148 210214296