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23203220432 = 2471975114519
BaseRepresentation
bin10101100111000001…
…010000101111010000
32012220001221201121112
4111213001100233100
5340010011023212
614354233312452
71450666055660
oct254701205720
965801851545
1023203220432
119927681a37
1245b6865728
13225a203242
1411a18ac1a0
1590c0a3422
hex567050bd0

23203220432 has 80 divisors (see below), whose sum is σ = 54158438400. Its totient is φ = 9407664000.

The previous prime is 23203220431. The next prime is 23203220437. The reversal of 23203220432 is 23402230232.

It is a junction number, because it is equal to n+sod(n) for n = 23203220398 and 23203220407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23203220431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1590869 + ... + 1605387.

It is an arithmetic number, because the mean of its divisors is an integer number (676980480).

Almost surely, 223203220432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23203220432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27079219200).

23203220432 is an abundant number, since it is smaller than the sum of its proper divisors (30955217968).

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

23203220432 is a wasteful number, since it uses less digits than its factorization.

23203220432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15304 (or 15298 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 23203220432 its reverse (23402230232), we get a palindrome (46605450664).

The spelling of 23203220432 in words is "twenty-three billion, two hundred three million, two hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 751 1064 1502 2128 3004 5257 6008 10514 12016 14269 14519 21028 28538 29038 42056 57076 58076 84112 99883 101633 114152 116152 199766 203266 228304 232304 275861 399532 406532 551722 799064 813064 1103444 1598128 1626128 1931027 2206888 3862054 4413776 7724108 10903769 15448216 21807538 30896432 43615076 76326383 87230152 152652766 174460304 207171611 305305532 414343222 610611064 828686444 1221222128 1450201277 1657372888 2900402554 3314745776 5800805108 11601610216 23203220432