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425456220 = 223572473079
BaseRepresentation
bin11001010110111…
…111001001011100
31002122120102012210
4121112333021130
51332404044340
6110115000420
713354214100
oct3126771134
91078512183
10425456220
111a9182612
12ba599110
136a1b5357
144070d900
1527541180
hex195bf25c

425456220 has 144 divisors (see below), whose sum is σ = 1415715840. Its totient is φ = 95147136.

The previous prime is 425456209. The next prime is 425456249. The reversal of 425456220 is 22654524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136641 + ... + 139719.

It is an arithmetic number, because the mean of its divisors is an integer number (9831360).

Almost surely, 2425456220 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 425456220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707857920).

425456220 is an abundant number, since it is smaller than the sum of its proper divisors (990259620).

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

425456220 is a wasteful number, since it uses less digits than its factorization.

425456220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 425456220 is about 20626.5901205216. The cubic root of 425456220 is about 752.1162276025.

The spelling of 425456220 in words is "four hundred twenty-five million, four hundred fifty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 49 60 70 84 94 98 105 140 141 147 188 196 210 235 245 282 294 329 420 470 490 564 588 658 705 735 940 980 987 1316 1410 1470 1645 1974 2303 2820 2940 3079 3290 3948 4606 4935 6158 6580 6909 9212 9237 9870 11515 12316 13818 15395 18474 19740 21553 23030 27636 30790 34545 36948 43106 46060 46185 61580 64659 69090 86212 92370 107765 129318 138180 144713 150871 184740 215530 258636 289426 301742 323295 431060 434139 452613 578852 603484 646590 723565 754355 868278 905226 1012991 1293180 1447130 1508710 1736556 1810452 2025982 2170695 2263065 2894260 3017420 3038973 4051964 4341390 4526130 5064955 6077946 7090937 8682780 9052260 10129910 12155892 14181874 15194865 20259820 21272811 28363748 30389730 35454685 42545622 60779460 70909370 85091244 106364055 141818740 212728110 425456220