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23122132224 = 28330106943
BaseRepresentation
bin10101100010001011…
…111011110100000000
32012200102101000111120
4111202023323310000
5334323231212344
614342215312240
71445662611132
oct254213736400
965612330446
1023122132224
119895928194
12459367b680
132246481759
141194c01052
15904dd7219
hex5622fbd00

23122132224 has 36 divisors (see below), whose sum is σ = 61538593536. Its totient is φ = 7707377152.

The previous prime is 23122132219. The next prime is 23122132261. The reversal of 23122132224 is 42223122132.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23122132194 and 23122132203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15052704 + ... + 15054239.

It is an arithmetic number, because the mean of its divisors is an integer number (1709405376).

Almost surely, 223122132224 is an apocalyptic number.

23122132224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23122132224 is an abundant number, since it is smaller than the sum of its proper divisors (38416461312).

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

23122132224 is an equidigital number, since it uses as much as digits as its factorization.

23122132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30106962 (or 30106948 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

Adding to 23122132224 its reverse (42223122132), we get a palindrome (65345254356).

The spelling of 23122132224 in words is "twenty-three billion, one hundred twenty-two million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 30106943 60213886 90320829 120427772 180641658 240855544 361283316 481711088 722566632 963422176 1445133264 1926844352 2890266528 3853688704 5780533056 7707377408 11561066112 23122132224