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2190712320 = 2932595083
BaseRepresentation
bin1000001010010011…
…1001111000000000
312122200012201100100
42002210321320000
513441310243240
61001214322400
7105200514246
oct20244717000
95580181310
102190712320
11a24666655
125117b9400
1328bb2c0a4
1416ad40796
15cc4d4e30
hex82939e00

2190712320 has 120 divisors (see below), whose sum is σ = 7587132696. Its totient is φ = 584183808.

The previous prime is 2190712319. The next prime is 2190712343. The reversal of 2190712320 is 232170912.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24502 + ... + 70581.

Almost surely, 22190712320 is an apocalyptic number.

2190712320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2190712320 is an abundant number, since it is smaller than the sum of its proper divisors (5396420376).

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

2190712320 is an equidigital number, since it uses as much as digits as its factorization.

2190712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95112 (or 95093 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2190712320 is about 46805.0458818277. The cubic root of 2190712320 is about 1298.7586414449.

The spelling of 2190712320 in words is "two billion, one hundred ninety million, seven hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 95083 190166 285249 380332 475415 570498 760664 855747 950830 1140996 1426245 1521328 1711494 1901660 2281992 2852490 3042656 3422988 3803320 4278735 4563984 5704980 6085312 6845976 7606640 8557470 9127968 11409960 12170624 13691952 15213280 17114940 18255936 22819920 24341248 27383904 30426560 34229880 36511872 45639840 48682496 54767808 60853120 68459760 73023744 91279680 109535616 121706240 136919520 146047488 182559360 219071232 243412480 273839040 365118720 438142464 547678080 730237440 1095356160 2190712320