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2022210000 = 24325422469
BaseRepresentation
bin111100010001000…
…0111100111010000
312012221010220121200
41320202013213100
513120141210000
6532354551200
7101053333656
oct17042074720
95187126550
102022210000
11948537338
12485298500
13262c52685
141527dadd6
15bc7ed500
hex788879d0

2022210000 has 150 divisors (see below), whose sum is σ = 7072275210. Its totient is φ = 539232000.

The previous prime is 2022209999. The next prime is 2022210019. The reversal of 2022210000 is 122202.

It can be written as a sum of positive squares in 5 ways, for example, as 534719376 + 1487490624 = 23124^2 + 38568^2 .

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 78766 + ... + 101234.

Almost surely, 22022210000 is an apocalyptic number.

2022210000 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 2022210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536137605).

2022210000 is an abundant number, since it is smaller than the sum of its proper divisors (5050065210).

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

2022210000 is a wasteful number, since it uses less digits than its factorization.

2022210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22503 (or 22479 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2022210000 is about 44968.9893148601. The cubic root of 2022210000 is about 1264.5676995125.

Adding to 2022210000 its reverse (122202), we get a palindrome (2022332202).

The spelling of 2022210000 in words is "two billion, twenty-two million, two hundred ten 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 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22469 22500 30000 44938 45000 67407 89876 90000 112345 134814 179752 202221 224690 269628 337035 359504 404442 449380 539256 561725 674070 808884 898760 1011105 1078512 1123450 1348140 1617768 1685175 1797520 2022210 2246900 2696280 2808625 3235536 3370350 4044420 4493800 5055525 5392560 5617250 6740700 8088840 8425875 8987600 10111050 11234500 13481400 14043125 16177680 16851750 20222100 22469000 25277625 26962800 28086250 33703500 40444200 42129375 44938000 50555250 56172500 67407000 80888400 84258750 101110500 112345000 126388125 134814000 168517500 202221000 224690000 252776250 337035000 404442000 505552500 674070000 1011105000 2022210000