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241497216 = 2732415113
BaseRepresentation
bin11100110010011…
…11010010000000
3121211102022220100
432121033102000
5443310402331
635544042400
75661456342
oct1631172200
9554368810
10241497216
11114356484
1268a63400
133b05647c
1424105292
1516304ae6
hexe64f480

241497216 has 96 divisors (see below), whose sum is σ = 712022220. Its totient is φ = 78520320.

The previous prime is 241497211. The next prime is 241497241. The reversal of 241497216 is 612794142.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 158760000 + 82737216 = 12600^2 + 9096^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (241497211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44676 + ... + 49788.

Almost surely, 2241497216 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 241497216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356011110).

241497216 is an abundant number, since it is smaller than the sum of its proper divisors (470525004).

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

241497216 is a wasteful number, since it uses less digits than its factorization.

241497216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5174 (or 5159 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 241497216 is about 15540.1806939302. The cubic root of 241497216 is about 622.7361005024.

The spelling of 241497216 in words is "two hundred forty-one million, four hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 288 328 369 384 492 576 656 738 984 1152 1312 1476 1968 2624 2952 3936 5113 5248 5904 7872 10226 11808 15339 15744 20452 23616 30678 40904 46017 47232 61356 81808 92034 122712 163616 184068 209633 245424 327232 368136 419266 490848 628899 654464 736272 838532 981696 1257798 1472544 1677064 1886697 1963392 2515596 2945088 3354128 3773394 5031192 5890176 6708256 7546788 10062384 13416512 15093576 20124768 26833024 30187152 40249536 60374304 80499072 120748608 241497216