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1424912220 = 22325193731117
BaseRepresentation
bin101010011101110…
…0110111101011100
310200022020001002200
41110323212331130
510404234142340
6353220451500
750211361014
oct12473467534
93608201080
101424912220
11671364706
12339249b90
13199291a34
14d7358c44
1585166330
hex54ee6f5c

1424912220 has 144 divisors (see below), whose sum is σ = 4566001440. Its totient is φ = 358691328.

The previous prime is 1424912219. The next prime is 1424912233. The reversal of 1424912220 is 222194241.

1424912220 is a `hidden beast` number, since 1 + 424 + 9 + 12 + 220 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1275102 + ... + 1276218.

Almost surely, 21424912220 is an apocalyptic number.

1424912220 is a gapful number since it is divisible by the number (10) 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 1424912220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283000720).

1424912220 is an abundant number, since it is smaller than the sum of its proper divisors (3141089220).

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

1424912220 is a wasteful number, since it uses less digits than its factorization.

1424912220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1424912220 is about 37748.0094839450. The cubic root of 1424912220 is about 1125.2854505284.

The spelling of 1424912220 in words is "one billion, four hundred twenty-four million, nine hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 373 380 570 684 746 855 1117 1119 1140 1492 1710 1865 2234 2238 3351 3357 3420 3730 4468 4476 5585 5595 6702 6714 7087 7460 10053 11170 11190 13404 13428 14174 16755 16785 20106 21223 21261 22340 22380 28348 33510 33570 35435 40212 42446 42522 50265 63669 63783 67020 67140 70870 84892 85044 100530 106115 106305 127338 127566 141740 191007 201060 212230 212610 254676 255132 318345 318915 382014 416641 424460 425220 636690 637830 764028 833282 955035 1249923 1273380 1275660 1666564 1910070 2083205 2499846 3749769 3820140 4166410 4999692 6249615 7499538 7916179 8332820 12499230 14999076 15832358 18748845 23748537 24998460 31664716 37497690 39580895 47497074 71245611 74995380 79161790 94994148 118742685 142491222 158323580 237485370 284982444 356228055 474970740 712456110 1424912220