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401248221 = 311231181197
BaseRepresentation
bin10111111010101…
…000111111011101
31000222000112002020
4113322220333131
51310204420341
6103452050353
712641360613
oct2772507735
91028015066
10401248221
11196548800
12b24639b9
136518a7aa
143b40b6b3
152535d566
hex17ea8fdd

401248221 has 48 divisors (see below), whose sum is σ = 613476864. Its totient is φ = 232848000.

The previous prime is 401248217. The next prime is 401248247. The reversal of 401248221 is 122842104.

It is not a de Polignac number, because 401248221 - 22 = 401248217 is a prime.

It is a super-2 number, since 2×4012482212 = 322000269711329682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401248191 and 401248200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401243221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2036695 + ... + 2036891.

It is an arithmetic number, because the mean of its divisors is an integer number (12780768).

Almost surely, 2401248221 is an apocalyptic number.

It is an amenable number.

401248221 is a deficient number, since it is larger than the sum of its proper divisors (212228643).

401248221 is a wasteful number, since it uses less digits than its factorization.

401248221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 401248221 is about 20031.1812182906. The cubic root of 401248221 is about 737.5719181422.

The spelling of 401248221 in words is "four hundred one million, two hundred forty-eight thousand, two hundred twenty-one".

Divisors: 1 3 11 31 33 93 121 181 197 341 363 543 591 1023 1991 2167 3751 5611 5973 6107 6501 11253 16833 18321 21901 23837 35657 61721 65703 67177 71511 106971 185163 201531 392227 678931 738947 1105367 1176681 2036793 2216841 3316101 4314497 12159037 12943491 36477111 133749407 401248221