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300223030032 = 243231301922277
BaseRepresentation
bin1000101111001101010…
…11111110001100010000
31001200221001121010102200
410113212223332030100
514404324043430112
6345530501243200
730455543435562
oct4274653761420
91050831533380
10300223030032
1110636208a042
124a228103500
13224070ba543
14107609db332
157c22066cdc
hex45e6afe310

300223030032 has 120 divisors (see below), whose sum is σ = 867637205760. Its totient is φ = 96809713920.

The previous prime is 300223029973. The next prime is 300223030073. The reversal of 300223030032 is 230030322003.

300223030032 is a `hidden beast` number, since 300 + 2 + 2 + 30 + 300 + 32 = 666.

300223030032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 300223029987 and 300223030014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13465678 + ... + 13487954.

It is an arithmetic number, because the mean of its divisors is an integer number (7230310048).

Almost surely, 2300223030032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300223030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433818602880).

300223030032 is an abundant number, since it is smaller than the sum of its proper divisors (567414175728).

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

300223030032 is a wasteful number, since it uses less digits than its factorization.

300223030032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25341 (or 25332 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 300223030032 its reverse (230030322003), we get a palindrome (530253352035).

The spelling of 300223030032 in words is "three hundred billion, two hundred twenty-three million, thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 3019 4464 6038 9057 12076 18114 22277 24152 27171 36228 44554 48304 54342 66831 72456 89108 93589 108684 133662 144912 178216 187178 200493 217368 267324 280767 356432 374356 400986 434736 534648 561534 690587 748712 801972 842301 1069296 1123068 1381174 1497424 1603944 1684602 2071761 2246136 2762348 3207888 3369204 4143522 4492272 5524696 6215283 6738408 8287044 11049392 12430566 13476816 16574088 24861132 33148176 49722264 67254263 99444528 134508526 201762789 269017052 403525578 538034104 605288367 807051156 1076068208 1210576734 1614102312 2084882153 2421153468 3228204624 4169764306 4842306936 6254646459 8339528612 9684613872 12509292918 16679057224 18763939377 25018585836 33358114448 37527878754 50037171672 75055757508 100074343344 150111515016 300223030032