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352225661230441 = 19478339722375351
BaseRepresentation
bin101000000010110001110110…
…1011010110001110101101001
31201012010102222221100221220201
41100011203231122301311221
5332131331123233333231
63245042122425552201
7134122315144424215
oct12005435532616551
91635112887327821
10352225661230441
11a2259078295859
1233607839345661
131216c977bcb43b
1462d9b54abd945
152aac2e76a8161
hex14058ed6b1d69

352225661230441 has 64 divisors (see below), whose sum is σ = 384423366942720. Its totient is φ = 321636225081600.

The previous prime is 352225661230433. The next prime is 352225661230483. The reversal of 352225661230441 is 144032166522253.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 352225661230441 - 23 = 352225661230433 is a prime.

It is a super-2 number, since 2×3522256612304412 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 352225661230391 and 352225661230400.

It is not an unprimeable number, because it can be changed into a prime (352225661231441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65824265916 + ... + 65824271266.

It is an arithmetic number, because the mean of its divisors is an integer number (6006615108480).

Almost surely, 2352225661230441 is an apocalyptic number.

It is an amenable number.

352225661230441 is a deficient number, since it is larger than the sum of its proper divisors (32197705712279).

352225661230441 is a wasteful number, since it uses less digits than its factorization.

352225661230441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8134.

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 352225661230441 in words is "three hundred fifty-two trillion, two hundred twenty-five billion, six hundred sixty-one million, two hundred thirty thousand, four hundred forty-one".

Divisors: 1 19 47 83 397 893 1577 2237 3901 5351 7543 18659 32951 42503 74119 101669 105139 185671 251497 354521 444133 626069 888089 1548697 1997641 2124347 3527749 4778443 8438527 8726537 11970187 16873691 20874251 29425243 40362593 41740183 73711387 99844309 165804203 176320801 227433553 396610769 562598789 793063477 993525521 1400516353 1897041871 3350095219 3464435189 4752164239 8287077647 10689376991 18876984899 46695699487 65824268591 90291120541 157454475293 223351719233 394429631837 887218290253 4243682665427 7494163004903 18538192696339 352225661230441