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212145208 = 23112997857
BaseRepresentation
bin11001010010100…
…01010000111000
3112210012002111221
430221101100320
5413302121313
633015001424
75154130102
oct1451212070
9483162457
10212145208
11a9828920
125b069274
1334c4a412
1420264572
1513957c8d
hexca51438

212145208 has 64 divisors (see below), whose sum is σ = 454053600. Its totient is φ = 92037120.

The previous prime is 212145181. The next prime is 212145217. The reversal of 212145208 is 802541212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247116 + ... + 247972.

Almost surely, 2212145208 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 212145208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227026800).

212145208 is an abundant number, since it is smaller than the sum of its proper divisors (241908392).

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

212145208 is a wasteful number, since it uses less digits than its factorization.

212145208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 212145208 is about 14565.2053881845. The cubic root of 212145208 is about 596.4093024999.

The spelling of 212145208 in words is "two hundred twelve million, one hundred forty-five thousand, two hundred eight".

Divisors: 1 2 4 8 11 22 29 44 58 88 97 116 194 232 319 388 638 776 857 1067 1276 1714 2134 2552 2813 3428 4268 5626 6856 8536 9427 11252 18854 22504 24853 30943 37708 49706 61886 75416 83129 99412 123772 166258 198824 247544 273383 332516 546766 665032 914419 1093532 1828838 2187064 2410741 3657676 4821482 7315352 9642964 19285928 26518151 53036302 106072604 212145208