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23405220 = 2233589487
BaseRepresentation
bin101100101001…
…0001010100100
31122001002221000
41121102022210
521442431340
62153353300
7402640536
oct131221244
948032830
1023405220
1112236763
127a08830
134b06357
143173856
1520c4d30
hex16522a4

23405220 has 96 divisors (see below), whose sum is σ = 73785600. Its totient is φ = 6158592.

The previous prime is 23405203. The next prime is 23405257. The reversal of 23405220 is 2250432.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23405193 and 23405202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47817 + ... + 48303.

It is an arithmetic number, because the mean of its divisors is an integer number (768600).

Almost surely, 223405220 is an apocalyptic number.

23405220 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 23405220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36892800).

23405220 is an abundant number, since it is smaller than the sum of its proper divisors (50380380).

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

23405220 is a wasteful number, since it uses less digits than its factorization.

23405220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 23405220 is about 4837.8941699876. The cubic root of 23405220 is about 286.0471176059.

Adding to 23405220 its reverse (2250432), we get a palindrome (25655652).

The spelling of 23405220 in words is "twenty-three million, four hundred five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 89 90 108 135 178 180 267 270 356 445 487 534 540 801 890 974 1068 1335 1461 1602 1780 1948 2403 2435 2670 2922 3204 4005 4383 4806 4870 5340 5844 7305 8010 8766 9612 9740 12015 13149 14610 16020 17532 21915 24030 26298 29220 43343 43830 48060 52596 65745 86686 87660 130029 131490 173372 216715 260058 262980 390087 433430 520116 650145 780174 866860 1170261 1300290 1560348 1950435 2340522 2600580 3900870 4681044 5851305 7801740 11702610 23405220