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223980984 = 233317181337
BaseRepresentation
bin11010101100110…
…10110110111000
3120121110102011000
431112122312320
5424314342414
634120405000
75356543533
oct1526326670
9517412130
10223980984
11105482257
1263016760
1337532736
1421a65a1a
15149e4b09
hexd59adb8

223980984 has 128 divisors (see below), whose sum is σ = 664372800. Its totient is φ = 69672960.

The previous prime is 223980979. The next prime is 223980989. The reversal of 223980984 is 489089322.

It is an interprime number because it is at equal distance from previous prime (223980979) and next prime (223980989).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223980989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 664464 + ... + 664800.

Almost surely, 2223980984 is an apocalyptic number.

223980984 is a gapful number since it is divisible by the number (24) 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 223980984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332186400).

223980984 is an abundant number, since it is smaller than the sum of its proper divisors (440391816).

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

223980984 is a wasteful number, since it uses less digits than its factorization.

223980984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 223980984 is about 14965.9942536405. The cubic root of 223980984 is about 607.3006082412.

The spelling of 223980984 in words is "two hundred twenty-three million, nine hundred eighty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 181 204 216 306 337 362 408 459 543 612 674 724 918 1011 1086 1224 1348 1448 1629 1836 2022 2172 2696 3033 3077 3258 3672 4044 4344 4887 5729 6066 6154 6516 8088 9099 9231 9774 11458 12132 12308 13032 17187 18198 18462 19548 22916 24264 24616 27693 34374 36396 36924 39096 45832 51561 55386 60997 68748 72792 73848 83079 103122 110772 121994 137496 154683 166158 182991 206244 221544 243988 309366 332316 365982 412488 487976 548973 618732 664632 731964 1036949 1097946 1237464 1463928 1646919 2073898 2195892 3110847 3293838 4147796 4391784 6221694 6587676 8295592 9332541 12443388 13175352 18665082 24886776 27997623 37330164 55995246 74660328 111990492 223980984