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23122022132 = 22112291799203
BaseRepresentation
bin10101100010001011…
…100000111011110100
32012200102011102111002
4111202023200323310
5334323214202012
614342213102432
71445661642146
oct254213407364
965612142432
1023122022132
119895862500
124593627a18
132246443601
141194bb2c96
15904db47c2
hex5622e0ef4

23122022132 has 72 divisors (see below), whose sum is σ = 46272189600. Its totient is φ = 10089808960.

The previous prime is 23122022083. The next prime is 23122022177.

It is a happy number.

23122022132 is nontrivially palindromic in base 10.

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 23 ways as a sum of consecutive naturals, for example, 2507843 + ... + 2517045.

It is an arithmetic number, because the mean of its divisors is an integer number (642669300).

Almost surely, 223122022132 is an apocalyptic number.

23122022132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23122022132 is an abundant number, since it is smaller than the sum of its proper divisors (23150167468).

23122022132 is a wasteful number, since it uses less digits than its factorization.

23122022132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9437 (or 9424 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 231220 and 22132, that added together give a palindrome (253352).

The spelling of 23122022132 in words is "twenty-three billion, one hundred twenty-two million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 29 44 58 116 121 179 242 319 358 484 638 716 1276 1969 3509 3938 5191 7018 7876 9203 10382 14036 18406 20764 21659 36812 43318 57101 86636 101233 114202 202466 228404 266887 404932 533774 628111 1067548 1113563 1256222 1647337 2227126 2512444 2935757 3294674 4454252 5871514 6589348 11743028 18120707 32293327 36241414 47772773 64586654 72482828 95545546 129173308 191091092 199327777 398655554 525500503 797311108 1051001006 2102002012 5780505533 11561011066 23122022132