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401222160 = 2435520639
BaseRepresentation
bin10111111010100…
…010101000010000
31000221222012100000
4113322202220100
51310203102120
6103451330000
712641221623
oct2772425020
91027865300
10401222160
11196530169
12b2450900
136517b981
143b401dba
1525355990
hex17ea2a10

401222160 has 120 divisors (see below), whose sum is σ = 1397410560. Its totient is φ = 106987392.

The previous prime is 401222149. The next prime is 401222161. The reversal of 401222160 is 61222104.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (401222161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9121 + ... + 29759.

It is an arithmetic number, because the mean of its divisors is an integer number (11645088).

Almost surely, 2401222160 is an apocalyptic number.

401222160 is a gapful number since it is divisible by the number (40) 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 401222160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698705280).

401222160 is an abundant number, since it is smaller than the sum of its proper divisors (996188400).

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

401222160 is a wasteful number, since it uses less digits than its factorization.

401222160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20667 (or 20649 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 401222160 is about 20030.5306969136. The cubic root of 401222160 is about 737.5559494085. Note that the first 3 decimals are identical.

Adding to 401222160 its reverse (61222104), we get a palindrome (462444264).

The spelling of 401222160 in words is "four hundred one million, two hundred twenty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 20639 41278 61917 82556 103195 123834 165112 185751 206390 247668 309585 330224 371502 412780 495336 557253 619170 743004 825560 928755 990672 1114506 1238340 1486008 1651120 1671759 1857510 2229012 2476680 2786265 2972016 3343518 3715020 4458024 4953360 5015277 5572530 6687036 7430040 8358795 8916048 10030554 11145060 13374072 14860080 16717590 20061108 22290120 25076385 26748144 33435180 40122216 44580240 50152770 66870360 80244432 100305540 133740720 200611080 401222160