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223133130 = 23451179317
BaseRepresentation
bin11010100110010…
…11110111001010
3120112212100010000
431103023313022
5424110230010
634050303430
75346412623
oct1523136712
9515770100
10223133130
11104a53250
1262887b76
13372c684c
14218c4a4a
15148c87c0
hexd4cbdca

223133130 has 160 divisors (see below), whose sum is σ = 664899840. Its totient is φ = 53239680.

The previous prime is 223133117. The next prime is 223133147. The reversal of 223133130 is 31331322.

It is a super-3 number, since 3×2231331303 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 703732 + ... + 704048.

It is an arithmetic number, because the mean of its divisors is an integer number (4155624).

Almost surely, 2223133130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332449920).

223133130 is an abundant number, since it is smaller than the sum of its proper divisors (441766710).

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

223133130 is a wasteful number, since it uses less digits than its factorization.

223133130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 223133130 is about 14937.6413800841. The cubic root of 223133130 is about 606.5333506652.

Adding to 223133130 its reverse (31331322), we get a palindrome (254464452).

It can be divided in two parts, 2 and 23133130, that added together give a palindrome (23133132).

The spelling of 223133130 in words is "two hundred twenty-three million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 79 81 90 99 110 135 158 162 165 198 237 270 297 317 330 395 405 474 495 594 634 711 790 810 869 891 951 990 1185 1422 1485 1585 1738 1782 1902 2133 2370 2607 2853 2970 3170 3487 3555 4266 4345 4455 4755 5214 5706 6399 6974 7110 7821 8559 8690 8910 9510 10461 10665 12798 13035 14265 15642 17118 17435 20922 21330 23463 25043 25677 26070 28530 31383 31995 34870 39105 42795 46926 50086 51354 52305 62766 63990 70389 75129 78210 85590 94149 104610 117315 125215 128385 140778 150258 156915 188298 225387 234630 250430 256770 275473 282447 313830 351945 375645 450774 470745 550946 564894 676161 703890 751290 826419 941490 1126935 1352322 1377365 1412235 1652838 2028483 2253870 2479257 2754730 2824470 3380805 4056966 4132095 4958514 6761610 7437771 8264190 10142415 12396285 14875542 20284830 22313313 24792570 37188855 44626626 74377710 111566565 223133130