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23423220 = 22325373517
BaseRepresentation
bin101100101011…
…0100011110100
31122002000121200
41121112203310
521444020340
62154012500
7403044162
oct131264364
948060550
1023423220
1112249237
127a17130
134b115c2
14317a232
1520ca330
hex16568f4

23423220 has 72 divisors (see below), whose sum is σ = 72991464. Its totient is φ = 6075648.

The previous prime is 23423209. The next prime is 23423221. The reversal of 23423220 is 2232432.

23423220 is a `hidden beast` number, since 2 + 342 + 322 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13003236 + 10419984 = 3606^2 + 3228^2 .

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 = 23423193 and 23423202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23423221) by changing a digit.

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, 4902 + ... + 8418.

Almost surely, 223423220 is an apocalyptic number.

23423220 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 23423220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36495732).

23423220 is an abundant number, since it is smaller than the sum of its proper divisors (49568244).

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

23423220 is a wasteful number, since it uses less digits than its factorization.

23423220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 23423220 is about 4839.7541259862. The cubic root of 23423220 is about 286.1204278725.

Adding to 23423220 its reverse (2232432), we get a palindrome (25655652).

The spelling of 23423220 in words is "twenty-three million, four hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 3517 6660 7034 10551 14068 17585 21102 31653 35170 42204 52755 63306 70340 105510 126612 130129 158265 211020 260258 316530 390387 520516 633060 650645 780774 1171161 1301290 1561548 1951935 2342322 2602580 3903870 4684644 5855805 7807740 11711610 23423220