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232000200 = 23345214321
BaseRepresentation
bin11011101010000…
…00101011001000
3121011112211110000
431311000223020
5433343001300
635004323000
75514653265
oct1565005310
9534484400
10232000200
11109a5a203
1265843460
13390ac833
1422b5226c
151557ac00
hexdd40ac8

232000200 has 120 divisors (see below), whose sum is σ = 805827330. Its totient is φ = 61862400.

The previous prime is 232000183. The next prime is 232000201. The reversal of 232000200 is 2000232.

It can be written as a sum of positive squares in 3 ways, for example, as 95531076 + 136469124 = 9774^2 + 11682^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (232000201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9040 + ... + 23360.

Almost surely, 2232000200 is an apocalyptic number.

232000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402913665).

232000200 is an abundant number, since it is smaller than the sum of its proper divisors (573827130).

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

232000200 is a wasteful number, since it uses less digits than its factorization.

232000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14349 (or 14331 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 232000200 is about 15231.5527770480. The cubic root of 232000200 is about 614.4635417071.

Adding to 232000200 its reverse (2000232), we get a palindrome (234000432).

The spelling of 232000200 in words is "two hundred thirty-two million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 14321 16200 28642 42963 57284 71605 85926 114568 128889 143210 171852 214815 257778 286420 343704 358025 386667 429630 515556 572840 644445 716050 773334 859260 1031112 1074075 1160001 1288890 1432100 1546668 1718520 1933335 2148150 2320002 2577780 2864200 3093336 3222225 3866670 4296300 4640004 5155560 5800005 6444450 7733340 8592600 9280008 9666675 11600010 12888900 15466680 19333350 23200020 25777800 29000025 38666700 46400040 58000050 77333400 116000100 232000200