Search a number
-
+
223474464 = 253529991
BaseRepresentation
bin11010101000111…
…11001100100000
3120120111200100000
431110133030200
5424202140324
634101500000
75352334023
oct1524371440
9516450300
10223474464
11105166744
1262a11600
13373b6015
14219731ba
15149449c9
hexd51f320

223474464 has 144 divisors (see below), whose sum is σ = 682456320. Its totient is φ = 71850240.

The previous prime is 223474453. The next prime is 223474513. The reversal of 223474464 is 464474322.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225009 + ... + 225999.

It is an arithmetic number, because the mean of its divisors is an integer number (4739280).

Almost surely, 2223474464 is an apocalyptic number.

223474464 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 223474464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341228160).

223474464 is an abundant number, since it is smaller than the sum of its proper divisors (458981856).

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

223474464 is an equidigital number, since it uses as much as digits as its factorization.

223474464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1025 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 223474464 is about 14949.0623117305. The cubic root of 223474464 is about 606.8424710205.

The spelling of 223474464 in words is "two hundred twenty-three million, four hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 243 261 288 324 348 432 464 486 522 648 696 783 864 928 972 991 1044 1296 1392 1566 1944 1982 2088 2349 2592 2784 2973 3132 3888 3964 4176 4698 5946 6264 7047 7776 7928 8352 8919 9396 11892 12528 14094 15856 17838 18792 23784 25056 26757 28188 28739 31712 35676 37584 47568 53514 56376 57478 71352 75168 80271 86217 95136 107028 112752 114956 142704 160542 172434 214056 225504 229912 240813 258651 285408 321084 344868 428112 459824 481626 517302 642168 689736 775953 856224 919648 963252 1034604 1284336 1379472 1551906 1926504 2069208 2327859 2568672 2758944 3103812 3853008 4138416 4655718 6207624 6983577 7706016 8276832 9311436 12415248 13967154 18622872 24830496 27934308 37245744 55868616 74491488 111737232 223474464