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22223040 = 263573307
BaseRepresentation
bin101010011000…
…1100011000000
31112211001021120
41110301203000
521142114130
62112152240
7356615130
oct124614300
945731246
1022223040
11115a9554
127538680
1347b1238
142d46ac0
151e3e910
hex15318c0

22223040 has 112 divisors (see below), whose sum is σ = 80662272. Its totient is φ = 5078016.

The previous prime is 22223039. The next prime is 22223053. The reversal of 22223040 is 4032222.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5067 + ... + 8373.

Almost surely, 222223040 is an apocalyptic number.

22223040 is a gapful number since it is divisible by the number (20) 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 22223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40331136).

22223040 is an abundant number, since it is smaller than the sum of its proper divisors (58439232).

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

22223040 is a wasteful number, since it uses less digits than its factorization.

22223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 22223040 is about 4714.1319455442. The cubic root of 22223040 is about 281.1476704274.

Adding to 22223040 its reverse (4032222), we get a palindrome (26255262).

The spelling of 22223040 in words is "twenty-two million, two hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3307 3360 6614 6720 9921 13228 16535 19842 23149 26456 33070 39684 46298 49605 52912 66140 69447 79368 92596 99210 105824 115745 132280 138894 158736 185192 198420 211648 231490 264560 277788 317472 347235 370384 396840 462980 529120 555576 634944 694470 740768 793680 925960 1058240 1111152 1388940 1481536 1587360 1851920 2222304 2777880 3174720 3703840 4444608 5555760 7407680 11111520 22223040