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2198020022000 = 24531199910001
BaseRepresentation
bin11111111111000100001…
…100111101111011110000
321210010110210110020020222
4133333010030331323300
5242003021111201000
64401431221152212
7314541661630325
oct37770414757360
97703423406228
102198020022000
117781a2000230
122b5ba855b668
1312c3705c961a
1478555a08b4c
153c2976e6a85
hex1ffc433def0

2198020022000 has 80 divisors (see below), whose sum is σ = 5797977236064. Its totient is φ = 799280000000.

The previous prime is 2198020021973. The next prime is 2198020022039. The reversal of 2198020022000 is 2200208912.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×21980200220002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 49933001 + ... + 49977000.

Almost surely, 22198020022000 is an apocalyptic number.

2198020022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2198020022000 is an abundant number, since it is smaller than the sum of its proper divisors (3599957214064).

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

2198020022000 is a wasteful number, since it uses less digits than its factorization.

2198020022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99910035 (or 99910019 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 2198020022000 in words is "two trillion, one hundred ninety-eight billion, twenty million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 99910001 199820002 399640004 499550005 799280008 999100010 1099010011 1598560016 1998200020 2198020022 2497750025 3996400040 4396040044 4995500050 5495050055 7992800080 8792080088 9991000100 10990100110 12488750125 17584160176 19982000200 21980200220 24977500250 27475250275 39964000400 43960400440 49955000500 54950500550 87920800880 99910001000 109901001100 137376251375 199820002000 219802002200 274752502750 439604004400 549505005500 1099010011000 2198020022000