Search a number
-
+
23492149300 = 22525311233947
BaseRepresentation
bin10101111000001111…
…011100000000110100
32020122012121211111201
4111320033130000310
5341102442234200
614443034142244
71461104655124
oct257017340064
966565554451
1023492149300
119a65784524
124677581984
1322a5025a79
1411cbddcc84
15927626c6a
hex5783dc034

23492149300 has 72 divisors (see below), whose sum is σ = 51999234336. Its totient is φ = 9209016960.

The previous prime is 23492149297. The next prime is 23492149301. The reversal of 23492149300 is 394129432.

It is a self number, because there is not a number n which added to its sum of digits gives 23492149300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23492149301) 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, 5949927 + ... + 5953873.

It is an arithmetic number, because the mean of its divisors is an integer number (722211588).

Almost surely, 223492149300 is an apocalyptic number.

23492149300 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 23492149300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25999617168).

23492149300 is an abundant number, since it is smaller than the sum of its proper divisors (28507085036).

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

23492149300 is a wasteful number, since it uses less digits than its factorization.

23492149300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5137 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 23492149300 in words is "twenty-three billion, four hundred ninety-two million, one hundred forty-nine thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1123 1325 2246 2650 3947 4492 5300 5615 7894 11230 15788 19735 22460 28075 39470 56150 59519 78940 98675 112300 119038 197350 209191 238076 297595 394700 418382 595190 836764 1045955 1190380 1487975 2091910 2975950 4183820 4432481 5229775 5951900 8864962 10459550 17729924 20919100 22162405 44324810 88649620 110812025 221624050 234921493 443248100 469842986 939685972 1174607465 2349214930 4698429860 5873037325 11746074650 23492149300