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541431220 = 2251119129529
BaseRepresentation
bin100000010001011…
…001010110110100
31101201210120000011
4200101121112310
52102101244340
6125420430004
716263042451
oct4021312664
91351716004
10541431220
11258695320
121313a8304
1388230205
1451c9c828
15327ee0ea
hex204595b4

541431220 has 48 divisors (see below), whose sum is σ = 1305662400. Its totient is φ = 186520320.

The previous prime is 541431203. The next prime is 541431223. The reversal of 541431220 is 22134145.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 541431191 and 541431200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541431223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60585 + ... + 68944.

It is an arithmetic number, because the mean of its divisors is an integer number (27201300).

Almost surely, 2541431220 is an apocalyptic number.

It is an amenable number.

541431220 is an abundant number, since it is smaller than the sum of its proper divisors (764231180).

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

541431220 is a wasteful number, since it uses less digits than its factorization.

541431220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129568 (or 129566 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 541431220 is about 23268.6746506972. The cubic root of 541431220 is about 815.0440815732.

Adding to 541431220 its reverse (22134145), we get a palindrome (563565365).

The spelling of 541431220 in words is "five hundred forty-one million, four hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 129529 259058 518116 647645 1295290 1424819 2461051 2590580 2849638 4922102 5699276 7124095 9844204 12305255 14248190 24610510 27071561 28496380 49221020 54143122 108286244 135357805 270715610 541431220