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223351040 = 2851129547
BaseRepresentation
bin11010101000000…
…01000100000000
3120120021102000202
431110001010000
5424134213130
634055104332
75351311133
oct1524010400
9516242022
10223351040
11105091a40
12629720a8
1337371aa3
142194021a
151491d145
hexd501100

223351040 has 144 divisors (see below), whose sum is σ = 604860480. Its totient is φ = 78274560.

The previous prime is 223351039. The next prime is 223351057. The reversal of 223351040 is 40153322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408047 + ... + 408593.

It is an arithmetic number, because the mean of its divisors is an integer number (4200420).

Almost surely, 2223351040 is an apocalyptic number.

223351040 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 223351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302430240).

223351040 is an abundant number, since it is smaller than the sum of its proper divisors (381509440).

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

223351040 is a wasteful number, since it uses less digits than its factorization.

223351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 223351040 is about 14944.9335896818. The cubic root of 223351040 is about 606.7307316047.

The spelling of 223351040 in words is "two hundred twenty-three million, three hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 128 145 160 176 220 232 256 290 319 320 352 440 464 547 580 638 640 704 880 928 1094 1160 1276 1280 1408 1595 1760 1856 2188 2320 2552 2735 2816 3190 3520 3712 4376 4640 5104 5470 6017 6380 7040 7424 8752 9280 10208 10940 12034 12760 14080 15863 17504 18560 20416 21880 24068 25520 30085 31726 35008 37120 40832 43760 48136 51040 60170 63452 70016 79315 81664 87520 96272 102080 120340 126904 140032 158630 174493 175040 192544 204160 240680 253808 317260 348986 350080 385088 408320 481360 507616 634520 697972 700160 770176 872465 962720 1015232 1269040 1395944 1540352 1744930 1925440 2030464 2538080 2791888 3489860 3850880 4060928 5076160 5583776 6979720 7701760 10152320 11167552 13959440 20304640 22335104 27918880 44670208 55837760 111675520 223351040