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400222044 = 2232371132659
BaseRepresentation
bin10111110110101…
…110011101011100
31000220002101102200
4113312232131130
51304424101134
6103414051500
712626555055
oct2766563534
91026071380
10400222044
11195a07822
12b2049b90
1364bbb6a1
143b22172c
1525209499
hex17dae75c

400222044 has 72 divisors (see below), whose sum is σ = 1048603920. Its totient is φ = 128604672.

The previous prime is 400222019. The next prime is 400222063. The reversal of 400222044 is 440222004.

400222044 is a `hidden beast` number, since 400 + 2 + 220 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149187 + ... + 151845.

Almost surely, 2400222044 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 400222044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524301960).

400222044 is an abundant number, since it is smaller than the sum of its proper divisors (648381876).

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

400222044 is a wasteful number, since it uses less digits than its factorization.

400222044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 400222044 is about 20005.5503298460. The cubic root of 400222044 is about 736.9426106903.

Adding to 400222044 its reverse (440222004), we get a palindrome (840444048).

The spelling of 400222044 in words is "four hundred million, two hundred twenty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 113 148 222 226 333 339 444 452 666 678 1017 1332 1356 2034 2659 4068 4181 5318 7977 8362 10636 12543 15954 16724 23931 25086 31908 37629 47862 50172 75258 95724 98383 150516 196766 295149 300467 393532 590298 600934 885447 901401 1180596 1201868 1770894 1802802 2704203 3541788 3605604 5408406 10816812 11117279 22234558 33351837 44469116 66703674 100055511 133407348 200111022 400222044