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232522240 = 295611489
BaseRepresentation
bin11011101110000…
…00001000000000
3121012112100112211
431313000020000
5434011202430
635023431504
75522256256
oct1567001000
9535470484
10232522240
1110a286445
1265a55594
1339233332
1422c4a5d6
151563072a
hexddc0200

232522240 has 80 divisors (see below), whose sum is σ = 567028440. Its totient is φ = 91422720.

The previous prime is 232522237. The next prime is 232522307. The reversal of 232522240 is 42225232.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 85821696 + 146700544 = 9264^2 + 12112^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155416 + ... + 156904.

Almost surely, 2232522240 is an apocalyptic number.

232522240 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 232522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283514220).

232522240 is an abundant number, since it is smaller than the sum of its proper divisors (334506200).

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

232522240 is an equidigital number, since it uses as much as digits as its factorization.

232522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 232522240 is about 15248.6799428672. The cubic root of 232522240 is about 614.9240790234.

Adding to 232522240 its reverse (42225232), we get a palindrome (274747472).

The spelling of 232522240 in words is "two hundred thirty-two million, five hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 512 610 640 976 1220 1280 1489 1952 2440 2560 2978 3904 4880 5956 7445 7808 9760 11912 14890 15616 19520 23824 29780 31232 39040 47648 59560 78080 90829 95296 119120 156160 181658 190592 238240 363316 381184 454145 476480 726632 762368 908290 952960 1453264 1816580 1905920 2906528 3633160 3811840 5813056 7266320 11626112 14532640 23252224 29065280 46504448 58130560 116261120 232522240