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221143440 = 24357139947
BaseRepresentation
bin11010010111001…
…10000110010000
3120102010020202210
431023212012100
5423103042230
633535512120
75323455030
oct1513460620
9512106683
10221143440
11103914381
1262088640
1336a7b00b
14215278c0
1514633eb0
hexd2e6190

221143440 has 160 divisors (see below), whose sum is σ = 789949440. Its totient is φ = 50130432.

The previous prime is 221143423. The next prime is 221143441. The reversal of 221143440 is 44341122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (221143441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233047 + ... + 233993.

It is an arithmetic number, because the mean of its divisors is an integer number (4937184).

Almost surely, 2221143440 is an apocalyptic number.

221143440 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 221143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394974720).

221143440 is an abundant number, since it is smaller than the sum of its proper divisors (568806000).

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

221143440 is a wasteful number, since it uses less digits than its factorization.

221143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 221143440 is about 14870.8923740306. The cubic root of 221143440 is about 604.7251352561.

Adding to 221143440 its reverse (44341122), we get a palindrome (265484562).

The spelling of 221143440 in words is "two hundred twenty-one million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 139 140 168 210 240 278 280 336 417 420 556 560 695 834 840 947 973 1112 1390 1668 1680 1894 1946 2085 2224 2780 2841 2919 3336 3788 3892 4170 4735 4865 5560 5682 5838 6629 6672 7576 7784 8340 9470 9730 11120 11364 11676 13258 14205 14595 15152 15568 16680 18940 19460 19887 22728 23352 26516 28410 29190 33145 33360 37880 38920 39774 45456 46704 53032 56820 58380 66290 75760 77840 79548 99435 106064 113640 116760 131633 132580 159096 198870 227280 233520 263266 265160 318192 394899 397740 526532 530320 658165 789798 795480 921431 1053064 1316330 1579596 1590960 1842862 1974495 2106128 2632660 2764293 3159192 3685724 3948990 4607155 5265320 5528586 6318384 7371448 7897980 9214310 10530640 11057172 13821465 14742896 15795960 18428620 22114344 27642930 31591920 36857240 44228688 55285860 73714480 110571720 221143440