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222135000 = 2335459251
BaseRepresentation
bin11010011110110…
…00001011011000
3120110222121221020
431033120023120
5423331310000
634013042440
75335054623
oct1517301330
9513877836
10222135000
1110443134a
1262486420
1337037439
1421704dba
151477cba0
hexd3d82d8

222135000 has 160 divisors (see below), whose sum is σ = 708523200. Its totient is φ = 58000000.

The previous prime is 222134981. The next prime is 222135029. The reversal of 222135000 is 531222.

222135000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 884875 + ... + 885125.

It is an arithmetic number, because the mean of its divisors is an integer number (4428270).

Almost surely, 2222135000 is an apocalyptic number.

222135000 is a gapful number since it is divisible by the number (20) 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 222135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354261600).

222135000 is an abundant number, since it is smaller than the sum of its proper divisors (486388200).

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

222135000 is a wasteful number, since it uses less digits than its factorization.

222135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 222135000 is about 14904.1940406048. The cubic root of 222135000 is about 605.6276072589.

Adding to 222135000 its reverse (531222), we get a palindrome (222666222).

The spelling of 222135000 in words is "two hundred twenty-two million, one hundred thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 59 60 75 100 118 120 125 150 177 200 236 250 251 295 300 354 375 472 500 502 590 600 625 708 750 753 885 1000 1004 1180 1250 1255 1416 1475 1500 1506 1770 1875 2008 2360 2500 2510 2950 3000 3012 3540 3750 3765 4425 5000 5020 5900 6024 6275 7080 7375 7500 7530 8850 10040 11800 12550 14750 14809 15000 15060 17700 18825 22125 25100 29500 29618 30120 31375 35400 36875 37650 44250 44427 50200 59000 59236 62750 73750 74045 75300 88500 88854 94125 110625 118472 125500 147500 148090 150600 156875 177000 177708 188250 221250 222135 251000 295000 296180 313750 355416 370225 376500 442500 444270 470625 592360 627500 740450 753000 885000 888540 941250 1110675 1255000 1480900 1777080 1851125 1882500 2221350 2961800 3702250 3765000 4442700 5553375 7404500 8885400 9255625 11106750 14809000 18511250 22213500 27766875 37022500 44427000 55533750 74045000 111067500 222135000