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243200000 = 2125519
BaseRepresentation
bin11100111111011…
…11000000000000
3121221121211200102
432133233000000
5444224400000
640044341532
76012110621
oct1637570000
9557554612
10243200000
1111530983a
12695448a8
133b501534
1424429a48
151653e3d5
hexe7ef000

243200000 has 156 divisors (see below), whose sum is σ = 639880920. Its totient is φ = 92160000.

The previous prime is 243199973. The next prime is 243200039. The reversal of 243200000 is 2342.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12799991 + ... + 12800009.

Almost surely, 2243200000 is an apocalyptic number.

243200000 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 243200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319940460).

243200000 is an abundant number, since it is smaller than the sum of its proper divisors (396680920).

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

243200000 is an frugal number, since it uses more digits than its factorization.

243200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 243200000 is about 15594.8709516943. The cubic root of 243200000 is about 624.1963002832.

Adding to 243200000 its reverse (2342), we get a palindrome (243202342).

The spelling of 243200000 in words is "two hundred forty-three million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 128 152 160 190 200 250 256 304 320 380 400 475 500 512 608 625 640 760 800 950 1000 1024 1216 1250 1280 1520 1600 1900 2000 2048 2375 2432 2500 2560 3040 3125 3200 3800 4000 4096 4750 4864 5000 5120 6080 6250 6400 7600 8000 9500 9728 10000 10240 11875 12160 12500 12800 15200 16000 19000 19456 20000 20480 23750 24320 25000 25600 30400 32000 38000 38912 40000 47500 48640 50000 51200 59375 60800 64000 76000 77824 80000 95000 97280 100000 102400 118750 121600 128000 152000 160000 190000 194560 200000 237500 243200 256000 304000 320000 380000 389120 400000 475000 486400 512000 608000 640000 760000 800000 950000 972800 1216000 1280000 1520000 1600000 1900000 1945600 2432000 2560000 3040000 3200000 3800000 4864000 6080000 6400000 7600000 9728000 12160000 12800000 15200000 24320000 30400000 48640000 60800000 121600000 243200000