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22113312 = 2531322947
BaseRepresentation
bin101010001011…
…0110000100000
31112121110202120
41110112300200
521130111222
62105544240
7355650204
oct124266040
945543676
1022113312
1111534071
1274a5080
134773300
142d18b04
151e1c15c
hex1516c20

22113312 has 144 divisors (see below), whose sum is σ = 66407040. Its totient is φ = 6429696.

The previous prime is 22113263. The next prime is 22113353. The reversal of 22113312 is 21331122.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22113291 and 22113300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470473 + ... + 470519.

It is an arithmetic number, because the mean of its divisors is an integer number (461160).

Almost surely, 222113312 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 22113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33203520).

22113312 is an abundant number, since it is smaller than the sum of its proper divisors (44293728).

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

22113312 is a wasteful number, since it uses less digits than its factorization.

22113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 22113312 is about 4702.4793460471. The cubic root of 22113312 is about 280.6841771983.

Adding to 22113312 its reverse (21331122), we get a palindrome (43444434).

The spelling of 22113312 in words is "twenty-two million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 47 48 52 58 78 87 94 96 104 116 141 156 169 174 188 208 232 282 312 338 348 376 377 416 464 507 564 611 624 676 696 752 754 928 1014 1128 1131 1222 1248 1352 1363 1392 1504 1508 1833 2028 2256 2262 2444 2704 2726 2784 3016 3666 4056 4089 4512 4524 4888 4901 5408 5452 6032 7332 7943 8112 8178 9048 9776 9802 10904 12064 14664 14703 15886 16224 16356 17719 18096 19552 19604 21808 23829 29328 29406 31772 32712 35438 36192 39208 43616 47658 53157 58656 58812 63544 65424 70876 78416 95316 106314 117624 127088 130848 141752 156832 190632 212628 230347 235248 254176 283504 381264 425256 460694 470496 567008 691041 762528 850512 921388 1382082 1701024 1842776 2764164 3685552 5528328 7371104 11056656 22113312