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222030000 = 2432542467
BaseRepresentation
bin11010011101111…
…10100010110000
3120110210021220100
431032332202300
5423314430000
634010512400
75334136533
oct1516764260
9513707810
10222030000
1110436a475
1262435700
1336ccb6ca
14216b8a1a
151475ba00
hexd3be8b0

222030000 has 150 divisors (see below), whose sum is σ = 776785724. Its totient is φ = 59184000.

The previous prime is 222029999. The next prime is 222030001. The reversal of 222030000 is 30222.

It is an interprime number because it is at equal distance from previous prime (222029999) and next prime (222030001).

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (222030001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 88767 + ... + 91233.

Almost surely, 2222030000 is an apocalyptic number.

222030000 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 222030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388392862).

222030000 is an abundant number, since it is smaller than the sum of its proper divisors (554755724).

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

222030000 is a wasteful number, since it uses less digits than its factorization.

222030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 222030000 is about 14900.6711258252. The cubic root of 222030000 is about 605.5321684179.

Adding to 222030000 its reverse (30222), we get a palindrome (222060222).

The spelling of 222030000 in words is "two hundred twenty-two million, thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2467 2500 3000 3600 3750 4500 4934 5000 5625 6000 7401 7500 9000 9868 10000 11250 12335 14802 15000 18000 19736 22203 22500 24670 29604 30000 37005 39472 44406 45000 49340 59208 61675 74010 88812 90000 98680 111015 118416 123350 148020 177624 185025 197360 222030 246700 296040 308375 355248 370050 444060 493400 555075 592080 616750 740100 888120 925125 986800 1110150 1233500 1480200 1541875 1776240 1850250 2220300 2467000 2775375 2960400 3083750 3700500 4440600 4625625 4934000 5550750 6167500 7401000 8881200 9251250 11101500 12335000 13876875 14802000 18502500 22203000 24670000 27753750 37005000 44406000 55507500 74010000 111015000 222030000