[go: up one dir, main page]

Search a number
-
+
23202648 = 23327192423
BaseRepresentation
bin101100010000…
…0101101011000
31121122211001100
41120200231120
521414441043
62145151400
7401135130
oct130405530
947584040
1023202648
1112108547
12792b560
134a650a1
14311dac0
152084cd3
hex1620b58

23202648 has 96 divisors (see below), whose sum is σ = 75628800. Its totient is φ = 6277824.

The previous prime is 23202643. The next prime is 23202659. The reversal of 23202648 is 84620232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23202643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8365 + ... + 10787.

It is an arithmetic number, because the mean of its divisors is an integer number (787800).

Almost surely, 223202648 is an apocalyptic number.

23202648 is a gapful number since it is divisible by the number (28) 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 23202648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37814400).

23202648 is an abundant number, since it is smaller than the sum of its proper divisors (52426152).

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

23202648 is a wasteful number, since it uses less digits than its factorization.

23202648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 23202648 is about 4816.9127042121. The cubic root of 23202648 is about 285.2194800566.

The spelling of 23202648 in words is "twenty-three million, two hundred two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 2423 3192 4788 4846 7269 9576 9692 14538 16961 19384 21807 29076 33922 43614 46037 50883 58152 67844 87228 92074 101766 135688 138111 152649 174456 184148 203532 276222 305298 322259 368296 407064 414333 552444 610596 644518 828666 966777 1104888 1221192 1289036 1657332 1933554 2578072 2900331 3314664 3867108 5800662 7734216 11601324 23202648