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404222000 = 24537132221
BaseRepresentation
bin11000000101111…
…111000000110000
31001011121121100012
4120011333000300
51311440101000
6104035514052
713005554540
oct3005770060
91034547305
10404222000
11198199a76
12b3458928
136598c220
143b983320
1525749735
hex1817f030

404222000 has 160 divisors (see below), whose sum is σ = 1203506304. Its totient is φ = 127872000.

The previous prime is 404221967. The next prime is 404222053. The reversal of 404222000 is 222404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180890 + ... + 183110.

Almost surely, 2404222000 is an apocalyptic number.

404222000 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 404222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601753152).

404222000 is an abundant number, since it is smaller than the sum of its proper divisors (799284304).

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

404222000 is a wasteful number, since it uses less digits than its factorization.

404222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 404222000 is about 20105.2729402015. The cubic root of 404222000 is about 739.3895623202.

Adding to 404222000 its reverse (222404), we get a palindrome (404444404).

The spelling of 404222000 in words is "four hundred four million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 125 130 140 175 182 200 208 250 260 280 325 350 364 400 455 500 520 560 650 700 728 875 910 1000 1040 1300 1400 1456 1625 1750 1820 2000 2221 2275 2600 2800 3250 3500 3640 4442 4550 5200 6500 7000 7280 8884 9100 11105 11375 13000 14000 15547 17768 18200 22210 22750 26000 28873 31094 35536 36400 44420 45500 55525 57746 62188 77735 88840 91000 111050 115492 124376 144365 155470 177680 182000 202111 222100 230984 248752 277625 288730 310940 388675 404222 444200 461968 555250 577460 621880 721825 777350 808444 888400 1010555 1110500 1154920 1243760 1443650 1554700 1616888 1943375 2021110 2221000 2309840 2887300 3109400 3233776 3609125 3886750 4042220 4442000 5052775 5774600 6218800 7218250 7773500 8084440 10105550 11549200 14436500 15547000 16168880 20211100 25263875 28873000 31094000 40422200 50527750 57746000 80844400 101055500 202111000 404222000