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23423100 = 22352163479
BaseRepresentation
bin101100101011…
…0100001111100
31122002000110020
41121112201330
521444014400
62154012140
7403043631
oct131264174
948060406
1023423100
1112249138
127a17050
134b1152c
14317a188
1520ca2a0
hex165687c

23423100 has 72 divisors (see below), whose sum is σ = 68328960. Its totient is φ = 6194880.

The previous prime is 23423077. The next prime is 23423107. The reversal of 23423100 is 132432.

23423100 = T41 + T42 + ... + T519.

It is a super-2 number, since 2×234231002 = 1097283227220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23423100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23423107) 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, 48661 + ... + 49139.

Almost surely, 223423100 is an apocalyptic number.

23423100 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 23423100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34164480).

23423100 is an abundant number, since it is smaller than the sum of its proper divisors (44905860).

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

23423100 is a wasteful number, since it uses less digits than its factorization.

23423100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 23423100 is about 4839.7417286463. The cubic root of 23423100 is about 286.1199392618.

Adding to 23423100 its reverse (132432), we get a palindrome (23555532).

The spelling of 23423100 in words is "twenty-three million, four hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 163 300 326 479 489 652 815 958 978 1437 1630 1916 1956 2395 2445 2874 3260 4075 4790 4890 5748 7185 8150 9580 9780 11975 12225 14370 16300 23950 24450 28740 35925 47900 48900 71850 78077 143700 156154 234231 312308 390385 468462 780770 936924 1171155 1561540 1951925 2342310 3903850 4684620 5855775 7807700 11711550 23423100