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212488880 = 24531471823
BaseRepresentation
bin11001010101001…
…01001010110000
3112210211112221112
430222211022300
5413344121010
633030212452
75160061052
oct1452451260
9483745845
10212488880
11a9a4304a
125b1b4128
133503a986
14203138d2
15139c4a05
hexcaa52b0

212488880 has 80 divisors (see below), whose sum is σ = 521109504. Its totient is φ = 80459520.

The previous prime is 212488873. The next prime is 212488889. The reversal of 212488880 is 88884212.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (212488889) 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, 115649 + ... + 117471.

Almost surely, 2212488880 is an apocalyptic number.

212488880 is a gapful number since it is divisible by the number (20) 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 212488880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260554752).

212488880 is an abundant number, since it is smaller than the sum of its proper divisors (308620624).

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

212488880 is a wasteful number, since it uses less digits than its factorization.

212488880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 41.

The square root of 212488880 is about 14576.9983192700. The cubic root of 212488880 is about 596.7311867365.

The spelling of 212488880 in words is "two hundred twelve million, four hundred eighty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 47 62 80 94 124 155 188 235 248 310 376 470 496 620 752 940 1240 1457 1823 1880 2480 2914 3646 3760 5828 7285 7292 9115 11656 14570 14584 18230 23312 29140 29168 36460 56513 58280 72920 85681 113026 116560 145840 171362 226052 282565 342724 428405 452104 565130 685448 856810 904208 1130260 1370896 1713620 2260520 2656111 3427240 4521040 5312222 6854480 10624444 13280555 21248888 26561110 42497776 53122220 106244440 212488880