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60223140 = 223252983139
BaseRepresentation
bin1110010110111…
…0111010100100
311012022122121200
43211232322210
5110404120030
65550442500
71330613445
oct345567244
9135278550
1060223140
1130aa359a
1218203430
13c6276c3
147dd92cc
155448d60
hex396eea4

60223140 has 144 divisors (see below), whose sum is σ = 192628800. Its totient is φ = 15208704.

The previous prime is 60223139. The next prime is 60223181. The reversal of 60223140 is 4132206.

It is a happy number.

60223140 is a `hidden beast` number, since 602 + 23 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 433191 + ... + 433329.

It is an arithmetic number, because the mean of its divisors is an integer number (1337700).

Almost surely, 260223140 is an apocalyptic number.

60223140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60223140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96314400).

60223140 is an abundant number, since it is smaller than the sum of its proper divisors (132405660).

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

60223140 is a wasteful number, since it uses less digits than its factorization.

60223140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 60223140 is about 7760.3569505532. The cubic root of 60223140 is about 391.9714768223.

Adding to 60223140 its reverse (4132206), we get a palindrome (64355346).

The spelling of 60223140 in words is "sixty million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 83 87 90 116 139 145 166 174 180 249 261 278 290 332 348 415 417 435 498 522 556 580 695 747 830 834 870 996 1044 1245 1251 1305 1390 1494 1660 1668 1740 2085 2407 2490 2502 2610 2780 2988 3735 4031 4170 4814 4980 5004 5220 6255 7221 7470 8062 8340 9628 11537 12035 12093 12510 14442 14940 16124 20155 21663 23074 24070 24186 25020 28884 34611 36105 36279 40310 43326 46148 48140 48372 57685 60465 69222 72210 72558 80620 86652 103833 108315 115370 120930 138444 144420 145116 173055 181395 207666 216630 230740 241860 334573 346110 362790 415332 433260 519165 669146 692220 725580 1003719 1038330 1338292 1672865 2007438 2076660 3011157 3345730 4014876 5018595 6022314 6691460 10037190 12044628 15055785 20074380 30111570 60223140