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228284197200 = 24325263412277
BaseRepresentation
bin1101010010011011001…
…1000110100101010000
3210211020111222202220200
43110212303012211100
512220011223302300
6252512230335200
722331044442223
oct3244663064520
9724214882820
10228284197200
11888a6529194
12382ababa500
13186b1093b37
14b0986cd5ba
155e11627200
hex3526cc6950

228284197200 has 90 divisors (see below), whose sum is σ = 792209589054. Its totient is φ = 60875784960.

The previous prime is 228284197189. The next prime is 228284197223. The reversal of 228284197200 is 2791482822.

It is a happy number.

228284197200 is a `hidden beast` number, since 2 + 2 + 8 + 28 + 419 + 7 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 36629366544 + 191654830656 = 191388^2 + 437784^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×2282841972002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31702539 + ... + 31709738.

Almost surely, 2228284197200 is an apocalyptic number.

228284197200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228284197200 is an abundant number, since it is smaller than the sum of its proper divisors (563925391854).

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

228284197200 is a wasteful number, since it uses less digits than its factorization.

228284197200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63412301 (or 63412287 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 228284197200 in words is "two hundred twenty-eight billion, two hundred eighty-four million, one hundred ninety-seven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 63412277 126824554 190236831 253649108 317061385 380473662 507298216 570710493 634122770 760947324 951184155 1014596432 1141420986 1268245540 1521894648 1585306925 1902368310 2282841972 2536491080 2853552465 3043789296 3170613850 3804736620 4565683944 4755920775 5072982160 5707104930 6341227700 7609473240 9131367888 9511841550 11414209860 12682455400 14267762325 15218946480 19023683100 22828419720 25364910800 28535524650 38047366200 45656839440 57071049300 76094732400 114142098600 228284197200