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223223103020 = 225291039370421
BaseRepresentation
bin1100111111100100100…
…0100011111000101100
3210100011210122112220002
43033321020203320230
512124130103244040
6250314113443432
722061451032501
oct3177110437054
9710153575802
10223223103020
1186739693225
1237318b70578
1318085694258
14ab384874a8
155c17153a15
hex33f9223e2c

223223103020 has 48 divisors (see below), whose sum is σ = 485400988800. Its totient is φ = 86127095040.

The previous prime is 223223102987. The next prime is 223223103041. The reversal of 223223103020 is 20301322322.

223223103020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232231030203 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 223223102983 and 223223103001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417410 + ... + 787830.

It is an arithmetic number, because the mean of its divisors is an integer number (10112520600).

Almost surely, 2223223103020 is an apocalyptic number.

223223103020 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 223223103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242700494400).

223223103020 is an abundant number, since it is smaller than the sum of its proper divisors (262177885780).

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

223223103020 is a wasteful number, since it uses less digits than its factorization.

223223103020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371498 (or 371496 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 223223103020 its reverse (20301322322), we get a palindrome (243524425342).

The spelling of 223223103020 in words is "two hundred twenty-three billion, two hundred twenty-three million, one hundred three thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1039 2078 4156 5195 10390 20780 30131 60262 120524 150655 301310 370421 602620 740842 1481684 1852105 3704210 7408420 10742209 21484418 42968836 53711045 107422090 214844180 384867419 769734838 1539469676 1924337095 3848674190 7697348380 11161155151 22322310302 44644620604 55805775755 111611551510 223223103020