Search a number
-
+
3422201454 = 233721968071
BaseRepresentation
bin1100101111111010…
…1010011001101110
322211111110211212000
43023332222121232
524002040421304
61323325353130
7150543142500
oct31376523156
98744424760
103422201454
1114a681a671
127b61087a6
13426cca299
14246709d70
15150690939
hexcbfaa66e

3422201454 has 96 divisors (see below), whose sum is σ = 9312249600. Its totient is φ = 926296560.

The previous prime is 3422201449. The next prime is 3422201479. The reversal of 3422201454 is 4541022243.

3422201454 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 201 + 454 = 666.

It is a super-2 number, since 2×34222014542 = 23422925583519428232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16239 + ... + 84309.

It is an arithmetic number, because the mean of its divisors is an integer number (97002600).

Almost surely, 23422201454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3422201454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656124800).

3422201454 is an abundant number, since it is smaller than the sum of its proper divisors (5890048146).

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

3422201454 is a wasteful number, since it uses less digits than its factorization.

3422201454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68115 (or 68102 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 3422201454 is about 58499.5850754516. The cubic root of 3422201454 is about 1506.9604593783.

Adding to 3422201454 its reverse (4541022243), we get a palindrome (7963223697).

The spelling of 3422201454 in words is "three billion, four hundred twenty-two million, two hundred one thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 98 114 126 133 147 171 189 266 294 342 378 399 441 513 798 882 931 1026 1197 1323 1862 2394 2646 2793 3591 5586 7182 8379 16758 25137 50274 68071 136142 204213 408426 476497 612639 952994 1225278 1293349 1429491 1837917 2586698 2858982 3335479 3675834 3880047 4288473 6670958 7760094 8576946 9053443 10006437 11640141 12865419 18106886 20012874 23280282 25730838 27160329 30019311 34920423 54320658 60038622 63374101 69840846 81480987 90057933 126748202 162961974 180115866 190122303 244442961 380244606 488885922 570366909 1140733818 1711100727 3422201454