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540222000 = 24353179503
BaseRepresentation
bin100000001100110…
…010001000110000
31101122112010021020
4200030302020300
52101244101000
6125334455440
716246545153
oct4014621060
91348463236
10540222000
11257a3986a
12130b04580
1387bc89b6
1451a65c9a
1532660ba0
hex20332230

540222000 has 160 divisors (see below), whose sum is σ = 1754887680. Its totient is φ = 142969600.

The previous prime is 540221993. The next prime is 540222013. The reversal of 540222000 is 222045.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1073749 + ... + 1074251.

It is an arithmetic number, because the mean of its divisors is an integer number (10968048).

Almost surely, 2540222000 is an apocalyptic number.

540222000 is a gapful number since it is divisible by the number (50) 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 540222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

540222000 is an abundant number, since it is smaller than the sum of its proper divisors (1214665680).

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

540222000 is a wasteful number, since it uses less digits than its factorization.

540222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 540222000 is about 23242.6762658692. The cubic root of 540222000 is about 814.4368624139.

Adding to 540222000 its reverse (222045), we get a palindrome (540444045).

The spelling of 540222000 in words is "five hundred forty million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 179 200 240 250 300 358 375 400 500 503 537 600 716 750 895 1000 1006 1074 1200 1432 1500 1509 1790 2000 2012 2148 2515 2685 2864 3000 3018 3580 4024 4296 4475 5030 5370 6000 6036 7160 7545 8048 8592 8950 10060 10740 12072 12575 13425 14320 15090 17900 20120 21480 22375 24144 25150 26850 30180 35800 37725 40240 42960 44750 50300 53700 60360 62875 67125 71600 75450 89500 90037 100600 107400 120720 125750 134250 150900 179000 180074 188625 201200 214800 251500 268500 270111 301800 358000 360148 377250 450185 503000 537000 540222 603600 720296 754500 900370 1006000 1074000 1080444 1350555 1440592 1509000 1800740 2160888 2250925 2701110 3018000 3601480 4321776 4501850 5402220 6752775 7202960 9003700 10804440 11254625 13505550 18007400 21608880 22509250 27011100 33763875 36014800 45018500 54022200 67527750 90037000 108044400 135055500 180074000 270111000 540222000