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241201152 = 21234727
BaseRepresentation
bin11100110000001…
…11000000000000
3121210212021210000
432120013000000
5443221414102
635533440000
75656114233
oct1630070000
9553767700
10241201152
11114173aa5
1268940000
133ac8179a
142406941a
151629701c
hexe607000

241201152 has 130 divisors (see below), whose sum is σ = 721528808. Its totient is φ = 80289792.

The previous prime is 241201109. The next prime is 241201153. The reversal of 241201152 is 251102142.

241201152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2412011522 = 116355991452254208, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241201153) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331413 + ... + 332139.

Almost surely, 2241201152 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 241201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360764404).

241201152 is an abundant number, since it is smaller than the sum of its proper divisors (480327656).

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

241201152 is an frugal number, since it uses more digits than its factorization.

241201152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 241201152 is about 15530.6520146451. The cubic root of 241201152 is about 622.4815149105.

Adding to 241201152 its reverse (251102142), we get a palindrome (492303294).

The spelling of 241201152 in words is "two hundred forty-one million, two hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 727 768 864 1024 1152 1296 1454 1536 1728 2048 2181 2304 2592 2908 3072 3456 4096 4362 4608 5184 5816 6144 6543 6912 8724 9216 10368 11632 12288 13086 13824 17448 18432 19629 20736 23264 26172 27648 34896 36864 39258 41472 46528 52344 55296 58887 69792 78516 82944 93056 104688 110592 117774 139584 157032 165888 186112 209376 235548 279168 314064 331776 372224 418752 471096 558336 628128 744448 837504 942192 1116672 1256256 1488896 1675008 1884384 2233344 2512512 2977792 3350016 3768768 4466688 5025024 6700032 7537536 8933376 10050048 13400064 15075072 20100096 26800128 30150144 40200192 60300288 80400384 120600576 241201152