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22200020004000 = 253531850001667
BaseRepresentation
bin1010000110000110110000…
…10011100110110010100000
32220121022010120020100110010
411003003120103212302200
510402211120110112000
6115114314242004520
74450620122350446
oct503033023466240
986538116210403
1022200020004000
117089a805a2353
1225a6619946740
13c505b704c457
1456a6b5718b96
15287717e39d50
hex1430d84e6ca0

22200020004000 has 96 divisors (see below), whose sum is σ = 72727265572416. Its totient is φ = 5920005331200.

The previous prime is 22200020003977. The next prime is 22200020004049. The reversal of 22200020004000 is 40002000222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 924988834 + ... + 925012833.

It is an arithmetic number, because the mean of its divisors is an integer number (757575683046).

Almost surely, 222200020004000 is an apocalyptic number.

22200020004000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200020004000 is an abundant number, since it is smaller than the sum of its proper divisors (50527245568416).

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

22200020004000 is a wasteful number, since it uses less digits than its factorization.

22200020004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850001695 (or 1850001677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 22200020004000 its reverse (40002000222), we get a palindrome (22240022004222).

The spelling of 22200020004000 in words is "twenty-two trillion, two hundred billion, twenty million, four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 1850001667 3700003334 5550005001 7400006668 9250008335 11100010002 14800013336 18500016670 22200020004 27750025005 29600026672 37000033340 44400040008 46250041675 55500050010 59200053344 74000066680 88800080016 92500083350 111000100020 138750125025 148000133360 177600160032 185000166700 222000200040 231250208375 277500250050 296000266720 370000333400 444000400080 462500416750 555000500100 693750625125 740000666800 888000800160 925000833500 1110001000200 1387501250250 1480001333600 1850001667000 2220002000400 2775002500500 3700003334000 4440004000800 5550005001000 7400006668000 11100010002000 22200020004000