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23203222230232 = 23112491110944021
BaseRepresentation
bin1010100011010011010111…
…10100011001010011011000
310001011012120110012201111201
411101221223310121103120
511020130144342331412
6121203225123203544
74613243322521152
oct521515364312330
9101135513181451
1023203222230232
117436482051200
122728b342165b4
13cc4092885bc5
145a3083169ad2
152a388088de57
hex151a6bd194d8

23203222230232 has 96 divisors (see below), whose sum is σ = 47962382806800. Its totient is φ = 10515708896000.

The previous prime is 23203222230191. The next prime is 23203222230233.

It is a happy number.

23203222230232 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23203222230232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23203222230233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527072382 + ... + 527116402.

Almost surely, 223203222230232 is an apocalyptic number.

23203222230232 is a gapful number since it is divisible by the number (22) 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 23203222230232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23981191403400).

23203222230232 is an abundant number, since it is smaller than the sum of its proper divisors (24759160576568).

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

23203222230232 is a wasteful number, since it uses less digits than its factorization.

23203222230232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45649 (or 45634 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

It can be divided in two parts, 2320322 and 2230232, that added together give a palindrome (4550554).

The spelling of 23203222230232 in words is "twenty-three trillion, two hundred three billion, two hundred twenty-two million, two hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 491 968 982 1109 1964 2218 3928 4436 5401 8872 10802 12199 21604 24398 43208 44021 48796 59411 88042 97592 118822 134189 176084 237644 268378 352168 475288 484231 536756 544519 968462 1073512 1089038 1936924 2178076 3873848 4356152 5326541 5989709 10653082 11979418 21306164 21614311 23958836 42612328 43228622 47917672 48819289 65886799 86457244 97638578 131773598 172914488 195277156 237757421 263547196 390554312 475514842 527094392 537012179 951029684 1074024358 1902059368 2148048716 2615331631 4296097432 5230663262 5907133969 10461326524 11814267938 20922653048 23628535876 23970270899 47257071752 47940541798 95881083596 191762167192 263672979889 527345959778 1054691919556 2109383839112 2900402778779 5800805557558 11601611115116 23203222230232