Search a number
-
+
223403302104 = 233172347934967
BaseRepresentation
bin1101000000001111011…
…1111101110011011000
3210100122100201121120020
43100003313331303120
512130012221131404
6250344032030440
722066066510323
oct3200367756330
9710570647506
10223403302104
1186821381494
1237369392420
13180b3b07928
14ab543937ba
155c27d9aed9
hex3403dfdcd8

223403302104 has 128 divisors (see below), whose sum is σ = 617326064640. Its totient is φ = 67012554752.

The previous prime is 223403302103. The next prime is 223403302201. The reversal of 223403302104 is 401203304322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223403302103) 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, 44975029 + ... + 44979995.

It is an arithmetic number, because the mean of its divisors is an integer number (4822859880).

Almost surely, 2223403302104 is an apocalyptic number.

223403302104 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 223403302104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308663032320).

223403302104 is an abundant number, since it is smaller than the sum of its proper divisors (393922762536).

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

223403302104 is a wasteful number, since it uses less digits than its factorization.

223403302104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9809 (or 9805 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 223403302104 its reverse (401203304322), we get a palindrome (624606606426).

The spelling of 223403302104 in words is "two hundred twenty-three billion, four hundred three million, three hundred two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 1173 1564 2346 3128 4692 4793 4967 9384 9586 9934 14379 14901 19172 19868 28758 29802 38344 39736 57516 59604 81481 84439 110239 114241 115032 119208 162962 168878 220478 228482 244443 253317 325924 330717 337756 342723 440956 456964 488886 506634 651848 661434 675512 685446 881912 913928 977772 1013268 1322868 1370892 1874063 1942097 1955544 2026536 2645736 2741784 3748126 3884194 5622189 5826291 7496252 7768388 11244378 11652582 14992504 15536776 22488756 23305164 23806831 44977512 46610328 47613662 71420493 95227324 142840986 190454648 285681972 404716127 547557113 571363944 809432254 1095114226 1214148381 1618864508 1642671339 2190228452 2428296762 3237729016 3285342678 4380456904 4856593524 6570685356 9308470921 9713187048 13141370712 18616941842 27925412763 37233883684 55850825526 74467767368 111701651052 223403302104