Search a number
-
+
23103272400 = 24352135327943
BaseRepresentation
bin10101100001000011…
…111111010111010000
32012122002212211200120
4111201003333113100
5334303414204100
614340303150240
71445343401205
oct254103772720
965562784616
1023103272400
11988621655a
1245892a5380
1322425aa2b0
1411924d1cac
1590340e0a0
hex5610ff5d0

23103272400 has 240 divisors, whose sum is σ = 81207052416. Its totient is φ = 5579458560.

The previous prime is 23103272393. The next prime is 23103272407. The reversal of 23103272400 is 427230132.

It is an interprime number because it is at equal distance from previous prime (23103272393) and next prime (23103272407).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×231032724002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23103272407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812829 + ... + 840771.

Almost surely, 223103272400 is an apocalyptic number.

23103272400 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 23103272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40603526208).

23103272400 is an abundant number, since it is smaller than the sum of its proper divisors (58103780016).

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

23103272400 is a wasteful number, since it uses less digits than its factorization.

23103272400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28030 (or 28019 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The spelling of 23103272400 in words is "twenty-three billion, one hundred three million, two hundred seventy-two thousand, four hundred".