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222031040 = 2657119011
BaseRepresentation
bin11010011101111…
…10110011000000
3120110210100022212
431032332303000
5423314443130
634010521252
75334142550
oct1516766300
9513710285
10222031040
11104370230
1262436228
1336ccc01a
14216b9160
151475be95
hexd3becc0

222031040 has 112 divisors (see below), whose sum is σ = 659245824. Its totient is φ = 69196800.

The previous prime is 222031013. The next prime is 222031049. The reversal of 222031040 is 40130222.

222031040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (14).

It is not an unprimeable number, because it can be changed into a prime (222031049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20135 + ... + 29145.

Almost surely, 2222031040 is an apocalyptic number.

222031040 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 222031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329622912).

222031040 is an abundant number, since it is smaller than the sum of its proper divisors (437214784).

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

222031040 is a wasteful number, since it uses less digits than its factorization.

222031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9046 (or 9036 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 222031040 is about 14900.7060235413. The cubic root of 222031040 is about 605.5331138644.

Adding to 222031040 its reverse (40130222), we get a palindrome (262161262).

The spelling of 222031040 in words is "two hundred twenty-two million, thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 2240 2464 3080 3520 4928 6160 9011 12320 18022 24640 36044 45055 63077 72088 90110 99121 126154 144176 180220 198242 252308 288352 315385 360440 396484 495605 504616 576704 630770 693847 720880 792968 991210 1009232 1261540 1387694 1441760 1585936 1982420 2018464 2523080 2775388 2883520 3171872 3469235 3964840 4036928 5046160 5550776 6343744 6938470 7929680 10092320 11101552 13876940 15859360 20184640 22203104 27753880 31718720 44406208 55507760 111015520 222031040