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220312404 = 2232132232111
BaseRepresentation
bin11010010000110…
…11001101010100
3120100120000210200
431020123031110
5422344444104
633510020500
75313424134
oct1510331524
9510500720
10220312404
111033a6a74
1261947730
1336849990
142138cac4
151451cb39
hexd21b354

220312404 has 72 divisors (see below), whose sum is σ = 602714112. Its totient is φ = 67452480.

The previous prime is 220312403. The next prime is 220312409. The reversal of 220312404 is 404213022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220312403) 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, 103309 + ... + 105419.

Almost surely, 2220312404 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 220312404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301357056).

220312404 is an abundant number, since it is smaller than the sum of its proper divisors (382401708).

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

220312404 is a wasteful number, since it uses less digits than its factorization.

220312404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 220312404 is about 14842.9243749337. The cubic root of 220312404 is about 603.9666845651.

Adding to 220312404 its reverse (404213022), we get a palindrome (624525426).

The spelling of 220312404 in words is "two hundred twenty million, three hundred twelve thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 223 234 446 468 669 892 1338 2007 2111 2676 2899 4014 4222 5798 6333 8028 8444 8697 11596 12666 17394 18999 25332 26091 27443 34788 37998 52182 54886 75996 82329 104364 109772 164658 246987 329316 470753 493974 941506 987948 1412259 1883012 2824518 4236777 5649036 6119789 8473554 12239578 16947108 18359367 24479156 36718734 55078101 73437468 110156202 220312404