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223031040 = 28352412
BaseRepresentation
bin11010100101100…
…10111100000000
3120112200011001220
431102302330000
5424043443130
634044155040
75345506161
oct1522627400
9515604056
10223031040
11104993581
1262838a80
133728c23b
1421899768
15148a8410
hexd4b2f00

223031040 has 108 divisors (see below), whose sum is σ = 715273272. Its totient is φ = 59228160.

The previous prime is 223030991. The next prime is 223031057. The reversal of 223031040 is 40130322.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 925320 + ... + 925560.

Almost surely, 2223031040 is an apocalyptic number.

223031040 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 223031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357636636).

223031040 is an abundant number, since it is smaller than the sum of its proper divisors (492242232).

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

223031040 is an frugal number, since it uses more digits than its factorization.

223031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 223031040 is about 14934.2237829758. The cubic root of 223031040 is about 606.4408342443.

Multiplying 223031040 by its sum of digits (15), we get a square (3345465600 = 578402).

223031040 divided by its sum of digits (15) gives a square (14868736 = 38562).

Adding to 223031040 its reverse (40130322), we get a palindrome (263161362).

The spelling of 223031040 in words is "two hundred twenty-three million, thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 241 256 320 384 480 482 640 723 768 960 964 1205 1280 1446 1920 1928 2410 2892 3615 3840 3856 4820 5784 7230 7712 9640 11568 14460 15424 19280 23136 28920 30848 38560 46272 57840 58081 61696 77120 92544 115680 116162 154240 174243 185088 231360 232324 290405 308480 348486 462720 464648 580810 696972 871215 925440 929296 1161620 1393944 1742430 1858592 2323240 2787888 3484860 3717184 4646480 5575776 6969720 7434368 9292960 11151552 13939440 14868736 18585920 22303104 27878880 37171840 44606208 55757760 74343680 111515520 223031040