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223013254120 = 235234094871217
BaseRepresentation
bin1100111110110010100…
…0000011001111101000
3210022122011210010022121
43033230220003033220
512123212343112440
6250241220001024
722053322245226
oct3175450031750
9708564703277
10223013254120
1186641193688
123727a830174
131805106c0c7
14ab1865db16
155c03a0134a
hex33eca033e8

223013254120 has 128 divisors (see below), whose sum is σ = 526386470400. Its totient is φ = 84873609216.

The previous prime is 223013254111. The next prime is 223013254133. The reversal of 223013254120 is 21452310322.

223013254120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2230132541203 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183247752 + ... + 183248968.

It is an arithmetic number, because the mean of its divisors is an integer number (4112394300).

Almost surely, 2223013254120 is an apocalyptic number.

223013254120 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 223013254120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263193235200).

223013254120 is an abundant number, since it is smaller than the sum of its proper divisors (303373216280).

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

223013254120 is a wasteful number, since it uses less digits than its factorization.

223013254120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 223013254120 its reverse (21452310322), we get a palindrome (244465564442).

The spelling of 223013254120 in words is "two hundred twenty-three billion, thirteen million, two hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 409 460 487 818 920 974 1217 1636 1948 2045 2434 2435 3272 3896 4090 4868 4870 6085 8180 9407 9736 9740 11201 12170 16360 18814 19480 22402 24340 27991 37628 44804 47035 48680 55982 56005 75256 89608 94070 111964 112010 139955 188140 199183 223928 224020 279910 376280 398366 448040 497753 559820 592679 796732 995506 995915 1119640 1185358 1593464 1991012 1991830 2370716 2488765 2963395 3982024 3983660 4581209 4741432 4977530 5926790 7967320 9162418 9955060 11448319 11853580 13631617 18324836 19910120 22896638 22906045 23707160 27263234 36649672 45793276 45812090 54526468 57241595 68158085 91586552 91624180 109052936 114483190 136316170 183248360 228966380 242405711 272632340 457932760 484811422 545264680 969622844 1212028555 1939245688 2424057110 4848114220 5575331353 9696228440 11150662706 22301325412 27876656765 44602650824 55753313530 111506627060 223013254120