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58224420 = 22345127283
BaseRepresentation
bin1101111000011…
…0111100100100
311001120002220000
43132012330210
5104401140140
65435541300
71304620332
oct336067444
9131502800
1058224420
112a958961
12175ba830
13c0a7a27
147a38b52
1551a1a30
hex3786f24

58224420 has 120 divisors (see below), whose sum is σ = 184740864. Its totient is φ = 15349824.

The previous prime is 58224377. The next prime is 58224427. The reversal of 58224420 is 2442285.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (58224427) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 205599 + ... + 205881.

Almost surely, 258224420 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 58224420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92370432).

58224420 is an abundant number, since it is smaller than the sum of its proper divisors (126516444).

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

58224420 is a wasteful number, since it uses less digits than its factorization.

58224420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 58224420 is about 7630.4927756994. The cubic root of 58224420 is about 387.5862756214.

The spelling of 58224420 in words is "fifty-eight million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 127 135 162 180 254 270 283 324 381 405 508 540 566 635 762 810 849 1132 1143 1270 1415 1524 1620 1698 1905 2286 2540 2547 2830 3396 3429 3810 4245 4572 5094 5660 5715 6858 7620 7641 8490 10188 10287 11430 12735 13716 15282 16980 17145 20574 22860 22923 25470 30564 34290 35941 38205 41148 45846 50940 51435 68580 71882 76410 91692 102870 107823 114615 143764 152820 179705 205740 215646 229230 323469 359410 431292 458460 539115 646938 718820 970407 1078230 1293876 1617345 1940814 2156460 2911221 3234690 3881628 4852035 5822442 6469380 9704070 11644884 14556105 19408140 29112210 58224420