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401222432 = 25131496473
BaseRepresentation
bin10111111010100…
…010101100100000
31000221222012201002
4113322202230200
51310203104212
6103451331132
712641222462
oct2772425440
91027865632
10401222432
11196530396
12b2450aa8
136517bb30
143b402132
1525355ac2
hex17ea2b20

401222432 has 48 divisors (see below), whose sum is σ = 856510200. Its totient is φ = 183908352.

The previous prime is 401222387. The next prime is 401222441. The reversal of 401222432 is 234222104.

It can be written as a sum of positive squares in 4 ways, for example, as 125529616 + 275692816 = 11204^2 + 16604^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58748 + ... + 65220.

Almost surely, 2401222432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401222432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428255100).

401222432 is an abundant number, since it is smaller than the sum of its proper divisors (455287768).

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

401222432 is a wasteful number, since it uses less digits than its factorization.

401222432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6645 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 401222432 is about 20030.5374865479. The cubic root of 401222432 is about 737.5561160786.

Adding to 401222432 its reverse (234222104), we get a palindrome (635444536).

The spelling of 401222432 in words is "four hundred one million, two hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 149 208 298 416 596 1192 1937 2384 3874 4768 6473 7748 12946 15496 25892 30992 51784 61984 84149 103568 168298 207136 336596 673192 964477 1346384 1928954 2692768 3857908 7715816 12538201 15431632 25076402 30863264 50152804 100305608 200611216 401222432