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2269317120000 = 214354761173
BaseRepresentation
bin100001000001011101110…
…101110100000000000000
322000221111121112002002020
4201001131311310000000
5244140030140320000
64454302045321440
7322644536152650
oct41013565640000
98027447462066
102269317120000
117a5459398217
12307985866280
13135cc36a4088
147bb9a9c8360
153e06bb22ba0
hex2105dd74000

2269317120000 has 1200 divisors, whose sum is σ = 8834431976832. Its totient is φ = 507248640000.

The previous prime is 2269317119999. The next prime is 2269317120017. The reversal of 2269317120000 is 217139622.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×22693171200002 (a number of 26 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 79 ways as a sum of consecutive naturals, for example, 13117439914 + ... + 13117440086.

Almost surely, 22269317120000 is an apocalyptic number.

2269317120000 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 2269317120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4417215988416).

2269317120000 is an abundant number, since it is smaller than the sum of its proper divisors (6565114856832).

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

2269317120000 is an frugal number, since it uses more digits than its factorization.

2269317120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 2269317120000 in words is "two trillion, two hundred sixty-nine billion, three hundred seventeen million, one hundred twenty thousand".