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542221236 = 223329374679
BaseRepresentation
bin100000010100011…
…010001110110100
31101210021200201000
4200110122032310
52102302034421
6125445403300
716302542634
oct4024321664
91353250630
10542221236
11259084927
12131709530
138844898b
14520266c4
1532908226
hex2051a3b4

542221236 has 96 divisors (see below), whose sum is σ = 1493856000. Its totient is φ = 169755264.

The previous prime is 542221231. The next prime is 542221237. The reversal of 542221236 is 632122245.

It is a happy number.

542221236 is a `hidden beast` number, since 5 + 422 + 2 + 1 + 236 = 666.

It is a super-3 number, since 3×5422212363 (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542221231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113545 + ... + 118223.

It is an arithmetic number, because the mean of its divisors is an integer number (15561000).

Almost surely, 2542221236 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 542221236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746928000).

542221236 is an abundant number, since it is smaller than the sum of its proper divisors (951634764).

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

542221236 is a wasteful number, since it uses less digits than its factorization.

542221236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 4750 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 542221236 is about 23285.6444188259. The cubic root of 542221236 is about 815.4403060729.

The spelling of 542221236 in words is "five hundred forty-two million, two hundred twenty-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 37 54 58 74 87 108 111 116 148 174 222 261 333 348 444 522 666 783 999 1044 1073 1332 1566 1998 2146 3132 3219 3996 4292 4679 6438 9358 9657 12876 14037 18716 19314 28074 28971 38628 42111 56148 57942 84222 115884 126333 135691 168444 173123 252666 271382 346246 407073 505332 519369 542764 692492 814146 1038738 1221219 1558107 1628292 2077476 2442438 3116214 3663657 4674321 4884876 5020567 6232428 7327314 9348642 10041134 14654628 15061701 18697284 20082268 30123402 45185103 60246804 90370206 135555309 180740412 271110618 542221236