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22021342000 = 245371982787
BaseRepresentation
bin10100100000100100…
…110000001100110000
32002211201001002012021
4110200210300030300
5330044430421000
614041053441224
71406465214160
oct244044601460
962751032167
1022021342000
1193805231a9
124326aa0214
1320cc3b51a8
1410cc9385a0
1588d44711a
hex520930330

22021342000 has 160 divisors (see below), whose sum is σ = 64058042880. Its totient is φ = 7152710400.

The previous prime is 22021341967. The next prime is 22021342069. The reversal of 22021342000 is 24312022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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, 224607 + ... + 307393.

It is an arithmetic number, because the mean of its divisors is an integer number (400362768).

Almost surely, 222021342000 is an apocalyptic number.

22021342000 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 22021342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32029021440).

22021342000 is an abundant number, since it is smaller than the sum of its proper divisors (42036700880).

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

22021342000 is a wasteful number, since it uses less digits than its factorization.

22021342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82836 (or 82820 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22021342000 its reverse (24312022), we get a palindrome (22045654022).

The spelling of 22021342000 in words is "twenty-two billion, twenty-one million, three hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 35 38 40 50 56 70 76 80 95 100 112 125 133 140 152 175 190 200 250 266 280 304 350 380 400 475 500 532 560 665 700 760 875 950 1000 1064 1330 1400 1520 1750 1900 2000 2128 2375 2660 2800 3325 3500 3800 4750 5320 6650 7000 7600 9500 10640 13300 14000 16625 19000 26600 33250 38000 53200 66500 82787 133000 165574 266000 331148 413935 579509 662296 827870 1159018 1324592 1572953 1655740 2069675 2318036 2897545 3145906 3311480 4139350 4636072 5795090 6291812 6622960 7864765 8278700 9272144 10348375 11010671 11590180 12583624 14487725 15729530 16557400 20696750 22021342 23180360 25167248 28975450 31459060 33114800 39323825 41393500 44042684 46360720 55053355 57950900 62918120 72438625 78647650 82787000 88085368 110106710 115901800 125836240 144877250 157295300 165574000 176170736 196619125 220213420 231803600 275266775 289754500 314590600 393238250 440426840 550533550 579509000 629181200 786476500 880853680 1101067100 1159018000 1376333875 1572953000 2202134200 2752667750 3145906000 4404268400 5505335500 11010671000 22021342000