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2423240100 = 2232524757287
BaseRepresentation
bin1001000001101111…
…1011010110100100
320020212202100111100
42100123323112210
514430322140400
61040242240100
7114023125641
oct22033732644
96225670440
102423240100
111033946176
12577656030
132c8064aa8
1418db8cdc8
15e2b17100
hex906fb5a4

2423240100 has 108 divisors (see below), whose sum is σ = 7757253504. Its totient is φ = 632437440.

The previous prime is 2423240081. The next prime is 2423240119. The reversal of 2423240100 is 10423242.

2423240100 is a `hidden beast` number, since 2 + 423 + 240 + 1 + 0 + 0 = 666.

2423240100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2423240081) and next prime (2423240119).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13657 + ... + 70943.

Almost surely, 22423240100 is an apocalyptic number.

2423240100 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 2423240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878626752).

2423240100 is an abundant number, since it is smaller than the sum of its proper divisors (5334013404).

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

2423240100 is a wasteful number, since it uses less digits than its factorization.

2423240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57354 (or 57344 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2423240100 is about 49226.4166886033. The cubic root of 2423240100 is about 1343.1736057597.

Adding to 2423240100 its reverse (10423242), we get a palindrome (2433663342).

The spelling of 2423240100 in words is "two billion, four hundred twenty-three million, two hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 47 50 60 75 90 94 100 141 150 180 188 225 235 282 300 423 450 470 564 705 846 900 940 1175 1410 1692 2115 2350 2820 3525 4230 4700 7050 8460 10575 14100 21150 42300 57287 114574 171861 229148 286435 343722 515583 572870 687444 859305 1031166 1145740 1432175 1718610 2062332 2577915 2692489 2864350 3437220 4296525 5155830 5384978 5728700 8077467 8593050 10311660 10769956 12889575 13462445 16154934 17186100 24232401 25779150 26924890 32309868 40387335 48464802 51558300 53849780 67312225 80774670 96929604 121162005 134624450 161549340 201936675 242324010 269248900 403873350 484648020 605810025 807746700 1211620050 2423240100