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22001100220000 = 255411100005001
BaseRepresentation
bin1010000000010100001111…
…10000110110011001100000
32212220021200111120022201201
411000022013300312121200
510340431223124020000
6114443055500410544
74430345526160306
oct500120760663140
985807614508651
1022001100220000
117012683563450
122573b63b46a54
13c37905774c55
14560c04ca6276
1528247473e96a
hex140287c36660

22001100220000 has 120 divisors (see below), whose sum is σ = 59046553360872. Its totient is φ = 8000400000000.

The previous prime is 22001100219991. The next prime is 22001100220067. The reversal of 22001100220000 is 2200110022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49782501 + ... + 50222500.

Almost surely, 222001100220000 is an apocalyptic number.

22001100220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22001100220000 is an abundant number, since it is smaller than the sum of its proper divisors (37045453140872).

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

22001100220000 is a wasteful number, since it uses less digits than its factorization.

22001100220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100005042 (or 100005019 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22001100220000 its reverse (2200110022), we get a palindrome (22003300330022).

22001100220000 divided by its reverse (2200110022) gives a 4-th power (10000 = 104).

It can be divided in two parts, 22001 and 100220000, that added together give a palindrome (100242001).

The spelling of 22001100220000 in words is "twenty-two trillion, one billion, one hundred million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 10000 11000 13750 20000 22000 27500 44000 55000 110000 220000 100005001 200010002 400020004 500025005 800040008 1000050010 1100055011 1600080016 2000100020 2200110022 2500125025 3200160032 4000200040 4400220044 5000250050 5500275055 8000400080 8800440088 10000500100 11000550110 12500625125 16000800160 17600880176 20001000200 22001100220 25001250250 27501375275 35201760352 40002000400 44002200440 50002500500 55002750550 62503125625 80004000800 88004400880 100005001000 110005501100 125006251250 137506876375 176008801760 200010002000 220011002200 250012502500 275013752750 400020004000 440022004400 500025005000 550027505500 687534381875 880044008800 1000050010000 1100055011000 1375068763750 2000100020000 2200110022000 2750137527500 4400220044000 5500275055000 11000550110000 22001100220000