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22320122000 = 2453115032017
BaseRepresentation
bin10100110010011000…
…100000100010010000
32010121112020200022012
4110302120200202100
5331202422401000
614130445402052
71420053622661
oct246230404220
963545220265
1022320122000
119514144020
1243aab69328
1321492768a7
14111a4b1368
158a97b4735
hex532620890

22320122000 has 160 divisors (see below), whose sum is σ = 59022722304. Its totient is φ = 8096256000.

The previous prime is 22320121973. The next prime is 22320122003. The reversal of 22320122000 is 22102322.

It is a super-3 number, since 3×223201220003 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22320122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11064992 + ... + 11067008.

Almost surely, 222320122000 is an apocalyptic number.

22320122000 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 22320122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29511361152).

22320122000 is an abundant number, since it is smaller than the sum of its proper divisors (36702600304).

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

22320122000 is a wasteful number, since it uses less digits than its factorization.

22320122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 22320122000 its reverse (22102322), we get a palindrome (22342224322).

The spelling of 22320122000 in words is "twenty-two billion, three hundred twenty million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 503 550 880 1000 1006 1100 1375 2000 2012 2017 2200 2515 2750 4024 4034 4400 5030 5500 5533 8048 8068 10060 10085 11000 11066 12575 16136 20120 20170 22000 22132 22187 25150 27665 32272 40240 40340 44264 44374 50300 50425 55330 62875 80680 88528 88748 100600 100850 110660 110935 125750 138325 161360 177496 201200 201700 221320 221870 251500 252125 276650 354992 403400 442640 443740 503000 504250 553300 554675 691625 806800 887480 1006000 1008500 1014551 1106600 1109350 1383250 1774960 2017000 2029102 2213200 2218700 2766500 2773375 4034000 4058204 4437400 5072755 5533000 5546750 8116408 8874800 10145510 11066000 11093500 11160061 16232816 20291020 22187000 22320122 25363775 40582040 44374000 44640244 50727550 55800305 81164080 89280488 101455100 111600610 126818875 178560976 202910200 223201220 253637750 279001525 405820400 446402440 507275500 558003050 892804880 1014551000 1116006100 1395007625 2029102000 2232012200 2790015250 4464024400 5580030500 11160061000 22320122000