Search a number
-
+
22377401088000 = 2113537193137191
BaseRepresentation
bin1010001011010001001010…
…00010101111100000000000
32221020020222120001001022220
411011220211002233200000
510413112404134304000
6115332011450131040
74466466600604110
oct505504502574000
987206876031286
1022377401088000
11714822559a142
122614a82420a80
13c64245229b5a
1457510178b040
1528c14a7781a0
hex145a250af800

22377401088000 has 3072 divisors, whose sum is σ = 95453813145600. Its totient is φ = 4538695680000.

The previous prime is 22377401087989. The next prime is 22377401088061. The reversal of 22377401088000 is 88010477322.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 117159167905 + ... + 117159168095.

It is an arithmetic number, because the mean of its divisors is an integer number (31072204800).

Almost surely, 222377401088000 is an apocalyptic number.

22377401088000 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 22377401088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47726906572800).

22377401088000 is an abundant number, since it is smaller than the sum of its proper divisors (73076412057600).

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

22377401088000 is a wasteful number, since it uses less digits than its factorization.

22377401088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 22377401088000 in words is "twenty-two trillion, three hundred seventy-seven billion, four hundred one million, eighty-eight thousand".