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2154401442 = 233374612339
BaseRepresentation
bin1000000001101001…
…1000111010100010
312120010212221012000
42000122120322202
513403011321232
6553440144430
7104250052524
oct20032307242
95503787160
102154401442
11a06115766
12501608116
1328445776b
141661aba14
15c921127c
hex80698ea2

2154401442 has 64 divisors (see below), whose sum is σ = 4929724800. Its totient is φ = 696911040.

The previous prime is 2154401441. The next prime is 2154401471. The reversal of 2154401442 is 2441044512.

2154401442 is a `hidden beast` number, since 215 + 4 + 4 + 0 + 1 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2154401441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919909 + ... + 922247.

It is an arithmetic number, because the mean of its divisors is an integer number (77026950).

Almost surely, 22154401442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2154401442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464862400).

2154401442 is an abundant number, since it is smaller than the sum of its proper divisors (2775323358).

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

2154401442 is a wasteful number, since it uses less digits than its factorization.

2154401442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2154401442 is about 46415.5301811797. The cubic root of 2154401442 is about 1291.5430210902.

Adding to 2154401442 its reverse (2441044512), we get a palindrome (4595445954).

The spelling of 2154401442 in words is "two billion, one hundred fifty-four million, four hundred one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 461 666 922 999 1383 1998 2339 2766 4149 4678 7017 8298 12447 14034 17057 21051 24894 34114 42102 51171 63153 86543 102342 126306 153513 173086 259629 307026 460539 519258 778887 921078 1078279 1557774 2156558 2336661 3234837 4673322 6469674 9704511 19409022 29113533 39896323 58227066 79792646 119688969 239377938 359066907 718133814 1077200721 2154401442