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214948707484 = 22722946381677
BaseRepresentation
bin1100100000101111110…
…0001111110010011100
3202112211010220201002011
43020023330033302130
512010203332114414
6242425052441004
721346425603400
oct3101374176234
9675733821064
10214948707484
1183182a3a405
12357a9a79164
1317367349714
14a591593100
1558d0a05dc4
hex320bf0fc9c

214948707484 has 72 divisors (see below), whose sum is σ = 453646146240. Its totient is φ = 88751101824.

The previous prime is 214948707461. The next prime is 214948707487. The reversal of 214948707484 is 484707849412.

It is a happy number.

214948707484 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 2×2149487074842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214948707487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2590854 + ... + 2672530.

It is an arithmetic number, because the mean of its divisors is an integer number (6300640920).

Almost surely, 2214948707484 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 214948707484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226823073120).

214948707484 is an abundant number, since it is smaller than the sum of its proper divisors (238697438756).

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

214948707484 is a wasteful number, since it uses less digits than its factorization.

214948707484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82187 (or 82178 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 58.

The spelling of 214948707484 in words is "two hundred fourteen billion, nine hundred forty-eight million, seven hundred seven thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 463 812 926 1421 1852 2842 3241 5684 6482 12964 13427 22687 26854 45374 53708 81677 90748 93989 163354 187978 326708 375956 571739 657923 1143478 1315846 2286956 2368633 2631692 4002173 4737266 8004346 9474532 16008692 16580431 33160862 37816451 66321724 75632902 116063017 151265804 232126034 264715157 464252068 529430314 1058860628 1096677079 1853006099 2193354158 3706012198 4386708316 7412024396 7676739553 15353479106 30706958212 53737176871 107474353742 214948707484