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23142233400 = 233521113269723
BaseRepresentation
bin10101100011011000…
…100111010100111000
32012201211012021010120
4111203120213110320
5334343402432100
614344214213240
71446325511136
oct254330472470
965654167116
1023142233400
1198a6207530
12459a354220
13224a69bc40
141197754756
15906a580a0
hex563627538

23142233400 has 192 divisors, whose sum is σ = 84283355520. Its totient is φ = 5178662400.

The previous prime is 23142233371. The next prime is 23142233419. The reversal of 23142233400 is 433224132.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49062 + ... + 220661.

It is an arithmetic number, because the mean of its divisors is an integer number (438975810).

Almost surely, 223142233400 is an apocalyptic number.

23142233400 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 23142233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42141677760).

23142233400 is an abundant number, since it is smaller than the sum of its proper divisors (61141122120).

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

23142233400 is a wasteful number, since it uses less digits than its factorization.

23142233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269766 (or 269757 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23142233400 its reverse (433224132), we get a palindrome (23575457532).

The spelling of 23142233400 in words is "twenty-three billion, one hundred forty-two million, two hundred thirty-three thousand, four hundred".