Search a number
-
+
22550126171400 = 23345210333140829
BaseRepresentation
bin1010010000010010111000…
…10000101001010100001000
32221211202211001202102010000
411020021130100221110020
510423430124244441100
6115543215052123000
74515123101565612
oct510113420512410
987752731672100
1022550126171400
117204500385853
122642447766460
13c77610910809
1457d609305db2
152918a9460900
hex14825c429508

22550126171400 has 480 divisors, whose sum is σ = 79321172673600. Its totient is φ = 5936848473600.

The previous prime is 22550126171393. The next prime is 22550126171423. The reversal of 22550126171400 is 417162105522.

22550126171400 is a `hidden beast` number, since 2 + 2 + 5 + 501 + 2 + 6 + 1 + 7 + 140 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 552286186 + ... + 552327014.

It is an arithmetic number, because the mean of its divisors is an integer number (165252443070).

Almost surely, 222550126171400 is an apocalyptic number.

22550126171400 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 22550126171400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39660586336800).

22550126171400 is an abundant number, since it is smaller than the sum of its proper divisors (56771046502200).

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

22550126171400 is a wasteful number, since it uses less digits than its factorization.

22550126171400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41291 (or 41273 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 22550126171400 its reverse (417162105522), we get a palindrome (22967288276922).

The spelling of 22550126171400 in words is "twenty-two trillion, five hundred fifty billion, one hundred twenty-six million, one hundred seventy-one thousand, four hundred".