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4252568220 = 22325193140111
BaseRepresentation
bin1111110101111001…
…0000101010011100
3101222100221211220200
43331132100222130
532202124140340
61541551143500
7210245143035
oct37536205234
911870854820
104252568220
11189251149a
129a8214b90
1352a053074
142c4adba8c
1519d515330
hexfd790a9c

4252568220 has 144 divisors (see below), whose sum is σ = 14016737280. Its totient is φ = 1039651200.

The previous prime is 4252568219. The next prime is 4252568263. The reversal of 4252568220 is 228652524.

4252568220 is a `hidden beast` number, since 42 + 52 + 568 + 2 + 2 + 0 = 666.

It is a super-3 number, since 3×42525682203 (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 85965 + ... + 126075.

Almost surely, 24252568220 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 4252568220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7008368640).

4252568220 is an abundant number, since it is smaller than the sum of its proper divisors (9764169060).

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

4252568220 is a wasteful number, since it uses less digits than its factorization.

4252568220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40176 (or 40171 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4252568220 is about 65211.7184254487. The cubic root of 4252568220 is about 1620.1321108539.

The spelling of 4252568220 in words is "four billion, two hundred fifty-two million, five hundred sixty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 31 36 38 45 57 60 62 76 90 93 95 114 124 155 171 180 186 190 228 279 285 310 342 372 380 465 558 570 589 620 684 855 930 1116 1140 1178 1395 1710 1767 1860 2356 2790 2945 3420 3534 5301 5580 5890 7068 8835 10602 11780 17670 21204 26505 35340 40111 53010 80222 106020 120333 160444 200555 240666 360999 401110 481332 601665 721998 762109 802220 1203330 1243441 1443996 1524218 1804995 2286327 2406660 2486882 3048436 3609990 3730323 3810545 4572654 4973764 6217205 6858981 7219980 7460646 7621090 9145308 11190969 11431635 12434410 13717962 14921292 15242180 18651615 22381938 22863270 23625379 24868820 27435924 34294905 37303230 44763876 45726540 47250758 55954845 68589810 70876137 74606460 94501516 111909690 118126895 137179620 141752274 212628411 223819380 236253790 283504548 354380685 425256822 472507580 708761370 850513644 1063142055 1417522740 2126284110 4252568220