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74228460 = 223517611193
BaseRepresentation
bin1000110110010…
…10001011101100
312011200012022020
410123022023230
5123000302320
611210550140
71560634335
oct433121354
9164605266
1074228460
1138999a39
1220a38350
13124bc387
149c0328c
1567b3940
hex46ca2ec

74228460 has 96 divisors (see below), whose sum is σ = 223860672. Its totient is φ = 18309120.

The previous prime is 74228423. The next prime is 74228471. The reversal of 74228460 is 6482247.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61624 + ... + 62816.

It is an arithmetic number, because the mean of its divisors is an integer number (2331882).

Almost surely, 274228460 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 74228460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111930336).

74228460 is an abundant number, since it is smaller than the sum of its proper divisors (149632212).

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

74228460 is a wasteful number, since it uses less digits than its factorization.

74228460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 74228460 is about 8615.5940015764. The cubic root of 74228460 is about 420.2652519454.

The spelling of 74228460 in words is "seventy-four million, two hundred twenty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 61 68 85 102 122 170 183 204 244 255 305 340 366 510 610 732 915 1020 1037 1193 1220 1830 2074 2386 3111 3579 3660 4148 4772 5185 5965 6222 7158 10370 11930 12444 14316 15555 17895 20281 20740 23860 31110 35790 40562 60843 62220 71580 72773 81124 101405 121686 145546 202810 218319 243372 291092 304215 363865 405620 436638 608430 727730 873276 1091595 1216860 1237141 1455460 2183190 2474282 3711423 4366380 4948564 6185705 7422846 12371410 14845692 18557115 24742820 37114230 74228460