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541232220 = 223529734261
BaseRepresentation
bin100000010000101…
…000110001011100
31101201102110000210
4200100220301130
52102023412340
6125412252420
716261253334
oct4020506134
91351373023
10541232220
11258569861
12131311110
1388190769
1451c4a0c4
15327b0180
hex20428c5c

541232220 has 96 divisors (see below), whose sum is σ = 1589555520. Its totient is φ = 137410560.

The previous prime is 541232117. The next prime is 541232261. The reversal of 541232220 is 22232145.

It is a super-2 number, since 2×5412322202 = 585864631932256800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124890 + ... + 129150.

It is an arithmetic number, because the mean of its divisors is an integer number (16557870).

Almost surely, 2541232220 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 541232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794777760).

541232220 is an abundant number, since it is smaller than the sum of its proper divisors (1048323300).

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

541232220 is a wasteful number, since it uses less digits than its factorization.

541232220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4375 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 541232220 is about 23264.3981224531. The cubic root of 541232220 is about 814.9442143808.

Adding to 541232220 its reverse (22232145), we get a palindrome (563464365).

The spelling of 541232220 in words is "five hundred forty-one million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 73 87 116 145 146 174 219 290 292 348 365 435 438 580 730 870 876 1095 1460 1740 2117 2190 4234 4261 4380 6351 8468 8522 10585 12702 12783 17044 21170 21305 25404 25566 31755 42340 42610 51132 63510 63915 85220 123569 127020 127830 247138 255660 311053 370707 494276 617845 622106 741414 933159 1235690 1244212 1482828 1555265 1853535 1866318 2471380 3110530 3707070 3732636 4665795 6221060 7414140 9020537 9331590 18041074 18663180 27061611 36082148 45102685 54123222 90205370 108246444 135308055 180410740 270616110 541232220