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212011998 = 231117375107
BaseRepresentation
bin11001010001100…
…00101111011110
3112202221022210020
430220300233132
5413233340443
633012053010
75153033532
oct1450605736
9482838706
10212011998
11a9747830
125b004166
1334c018b3
142022bbc2
151392d583
hexca30bde

212011998 has 64 divisors (see below), whose sum is σ = 503117568. Its totient is φ = 58821120.

The previous prime is 212011993. The next prime is 212012033. The reversal of 212011998 is 899110212.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38961 + ... + 44067.

It is an arithmetic number, because the mean of its divisors is an integer number (7861212).

Almost surely, 2212011998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212011998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251558784).

212011998 is an abundant number, since it is smaller than the sum of its proper divisors (291105570).

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

212011998 is a wasteful number, since it uses less digits than its factorization.

212011998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5177.

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 212011998 is about 14560.6317857434. The cubic root of 212011998 is about 596.2844441248.

The spelling of 212011998 in words is "two hundred twelve million, eleven thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 11 17 22 33 34 37 51 66 74 102 111 187 222 374 407 561 629 814 1122 1221 1258 1887 2442 3774 5107 6919 10214 13838 15321 20757 30642 41514 56177 86819 112354 168531 173638 188959 260457 337062 377918 520914 566877 955009 1133754 1910018 2078549 2865027 3212303 4157098 5730054 6235647 6424606 9636909 12471294 19273818 35335333 70670666 106005999 212011998