Search a number
-
+
222002021000 = 2353674018263
BaseRepresentation
bin1100111011000001011…
…0100000001010001000
3210020000200222011021002
43032300112200022020
512114130004133000
6245553013434132
722016263020554
oct3166026401210
9706020864232
10222002021000
1186172398231
123703803b948
1317c1c6cb006
14aa6022a864
155b94d518d5
hex33b05a0288

222002021000 has 128 divisors (see below), whose sum is σ = 528617007360. Its totient is φ = 87246720000.

The previous prime is 222002020993. The next prime is 222002021041. The reversal of 222002021000 is 120200222.

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, 26862869 + ... + 26871131.

It is an arithmetic number, because the mean of its divisors is an integer number (4129820370).

Almost surely, 2222002021000 is an apocalyptic number.

222002021000 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 222002021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264308503680).

222002021000 is an abundant number, since it is smaller than the sum of its proper divisors (306614986360).

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

222002021000 is a wasteful number, since it uses less digits than its factorization.

222002021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8752 (or 8738 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 222002021000 its reverse (120200222), we get a palindrome (222122221222).

The spelling of 222002021000 in words is "two hundred twenty-two billion, two million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 401 500 536 670 802 1000 1340 1604 1675 2005 2680 3208 3350 4010 6700 8020 8263 8375 10025 13400 16040 16526 16750 20050 26867 33052 33500 40100 41315 50125 53734 66104 67000 80200 82630 100250 107468 134335 165260 200500 206575 214936 268670 330520 401000 413150 537340 553621 671675 826300 1032875 1074680 1107242 1343350 1652600 2065750 2214484 2686700 2768105 3313463 3358375 4131500 4428968 5373400 5536210 6626926 6716750 8263000 11072420 13253852 13433500 13840525 16567315 22144840 26507704 26867000 27681050 33134630 55362100 66269260 69202625 82836575 110724200 132538520 138405250 165673150 222002021 276810500 331346300 414182875 444004042 553621000 662692600 828365750 888008084 1110010105 1656731500 1776016168 2220020210 3313463000 4440040420 5550050525 8880080840 11100101050 22200202100 27750252625 44400404200 55500505250 111001010500 222002021000