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212353440 = 25351334031
BaseRepresentation
bin11001010100001…
…00000110100000
3112210120200011020
430222010012200
5413330302230
633023245440
75155655145
oct1452040640
9483520136
10212353440
11a9960312
125b149880
1334cc1130
14202ba3cc
1513999810
hexca841a0

212353440 has 96 divisors (see below), whose sum is σ = 720389376. Its totient is φ = 52270080.

The previous prime is 212353439. The next prime is 212353451. The reversal of 212353440 is 44353212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212353440.

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, 10776 + ... + 23255.

It is an arithmetic number, because the mean of its divisors is an integer number (7504056).

Almost surely, 2212353440 is an apocalyptic number.

212353440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212353440 is an abundant number, since it is smaller than the sum of its proper divisors (508035936).

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

212353440 is a wasteful number, since it uses less digits than its factorization.

212353440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34062 (or 34054 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 212353440 is about 14572.3519035192. The cubic root of 212353440 is about 596.6043746891.

The spelling of 212353440 in words is "two hundred twelve million, three hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 34031 68062 102093 136124 170155 204186 272248 340310 408372 442403 510465 544496 680620 816744 884806 1020930 1088992 1327209 1361240 1633488 1769612 2041860 2212015 2654418 2722480 3266976 3539224 4083720 4424030 5308836 5444960 6636045 7078448 8167440 8848060 10617672 13272090 14156896 16334880 17696120 21235344 26544180 35392240 42470688 53088360 70784480 106176720 212353440