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40223120 = 2457231331
BaseRepresentation
bin1001100101110…
…0000110010000
32210200112202012
42121130012100
540244114440
63554042052
7665614400
oct231340620
983615665
1040223120
1120783253
1211579328
138444282
1454b0800
1537e7e65
hex265c190

40223120 has 120 divisors (see below), whose sum is σ = 112635648. Its totient is φ = 13305600.

The previous prime is 40223111. The next prime is 40223123. The reversal of 40223120 is 2132204.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 40223095 and 40223104.

It is not an unprimeable number, because it can be changed into a prime (40223123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121355 + ... + 121685.

Almost surely, 240223120 is an apocalyptic number.

40223120 is a gapful number since it is divisible by the number (40) 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 40223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56317824).

40223120 is an abundant number, since it is smaller than the sum of its proper divisors (72412528).

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

40223120 is a wasteful number, since it uses less digits than its factorization.

40223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 376 counting only the distinct ones).

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

The square root of 40223120 is about 6342.1699756471. The cubic root of 40223120 is about 342.6298937225.

Adding to 40223120 its reverse (2132204), we get a palindrome (42355324).

The spelling of 40223120 in words is "forty million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 49 56 62 70 80 98 112 124 140 155 196 217 245 248 280 310 331 392 434 490 496 560 620 662 784 868 980 1085 1240 1324 1519 1655 1736 1960 2170 2317 2480 2648 3038 3310 3472 3920 4340 4634 5296 6076 6620 7595 8680 9268 10261 11585 12152 13240 15190 16219 17360 18536 20522 23170 24304 26480 30380 32438 37072 41044 46340 51305 60760 64876 71827 81095 82088 92680 102610 121520 129752 143654 162190 164176 185360 205220 259504 287308 324380 359135 410440 502789 574616 648760 718270 820880 1005578 1149232 1297520 1436540 2011156 2513945 2873080 4022312 5027890 5746160 8044624 10055780 20111560 40223120