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212014320 = 24357126199
BaseRepresentation
bin11001010001100…
…01010011110000
3112202221102222020
430220301103300
5413233424240
633012111440
75153043360
oct1450612360
9482842866
10212014320
11a9749551
125b005580
1334c0297b
142022c9a0
151392e0d0
hexca314f0

212014320 has 80 divisors (see below), whose sum is σ = 751142400. Its totient is φ = 48460032.

The previous prime is 212014303. The next prime is 212014339. The reversal of 212014320 is 23410212.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212014320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61420 + ... + 64779.

It is an arithmetic number, because the mean of its divisors is an integer number (9389280).

Almost surely, 2212014320 is an apocalyptic number.

212014320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212014320 is an abundant number, since it is smaller than the sum of its proper divisors (539128080).

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

212014320 is a wasteful number, since it uses less digits than its factorization.

212014320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126222 (or 126216 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 212014320 is about 14560.7115210762. The cubic root of 212014320 is about 596.2866209944.

Adding to 212014320 its reverse (23410212), we get a palindrome (235424532).

The spelling of 212014320 in words is "two hundred twelve million, fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 126199 252398 378597 504796 630995 757194 883393 1009592 1261990 1514388 1766786 1892985 2019184 2523980 2650179 3028776 3533572 3785970 4416965 5047960 5300358 6057552 7067144 7571940 8833930 10095920 10600716 13250895 14134288 15143880 17667860 21201432 26501790 30287760 35335720 42402864 53003580 70671440 106007160 212014320