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2220013145000 = 23547409155083
BaseRepresentation
bin100000010011100011000…
…110000100101110101000
321212020020112101122021002
4200103203012010232220
5242333041331120000
64415505430134132
7316250665244420
oct40234306045650
97766215348232
102220013145000
117865585aa042
122ba305ab1348
13131466bb1381
14796408b9480
153cb334178d5
hex204e3184ba8

2220013145000 has 160 divisors (see below), whose sum is σ = 5959133716800. Its totient is φ = 759281472000.

The previous prime is 2220013144981. The next prime is 2220013145017. The reversal of 2220013145000 is 5413100222.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 14237459 + ... + 14392541.

It is an arithmetic number, because the mean of its divisors is an integer number (37244585730).

Almost surely, 22220013145000 is an apocalyptic number.

2220013145000 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 2220013145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979566858400).

2220013145000 is an abundant number, since it is smaller than the sum of its proper divisors (3739120571800).

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

2220013145000 is a wasteful number, since it uses less digits than its factorization.

2220013145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155525 (or 155506 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 2220013145000 its reverse (5413100222), we get a palindrome (2225426245222).

The spelling of 2220013145000 in words is "two trillion, two hundred twenty billion, thirteen million, one hundred forty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 409 500 625 700 818 875 1000 1250 1400 1636 1750 2045 2500 2863 3272 3500 4090 4375 5000 5726 7000 8180 8750 10225 11452 14315 16360 17500 20450 22904 28630 35000 40900 51125 57260 71575 81800 102250 114520 143150 155083 204500 255625 286300 310166 357875 409000 511250 572600 620332 715750 775415 1022500 1085581 1240664 1431500 1550830 1789375 2045000 2171162 2863000 3101660 3578750 3877075 4342324 5427905 6203320 7157500 7754150 8684648 10855810 14315000 15508300 19385375 21711620 27139525 31016600 38770750 43423240 54279050 63428947 77541500 96926875 108558100 126857894 135697625 155083000 193853750 217116200 253715788 271395250 317144735 387707500 444002629 507431576 542790500 634289470 678488125 775415000 888005258 1085581000 1268578940 1356976250 1585723675 1776010516 2220013145 2537157880 2713952500 3171447350 3552021032 4440026290 5427905000 6342894700 7928618375 8880052580 11100065725 12685789400 15857236750 17760105160 22200131450 31714473500 39643091875 44400262900 55500328625 63428947000 79286183750 88800525800 111000657250 158572367500 222001314500 277501643125 317144735000 444002629000 555003286250 1110006572500 2220013145000