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242244052000 = 2553103587971
BaseRepresentation
bin1110000110011011011…
…1101110010000100000
3212011021101220212121221
43201212313232100200
512432103434131000
6303141350424424
723334014316316
oct3414667562040
9764241825557
10242244052000
119380a4a7775
123ab47062114
1319ac7288052
14ba207160b6
15647be7a61a
hex3866dee420

242244052000 has 96 divisors (see below), whose sum is σ = 600973236864. Its totient is φ = 95956704000.

The previous prime is 242244051991. The next prime is 242244052003. The reversal of 242244052000 is 250442242.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (242244052003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118015 + ... + 705985.

It is an arithmetic number, because the mean of its divisors is an integer number (6260137884).

Almost surely, 2242244052000 is an apocalyptic number.

242244052000 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 242244052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300486618432).

242244052000 is an abundant number, since it is smaller than the sum of its proper divisors (358729184864).

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

242244052000 is a wasteful number, since it uses less digits than its factorization.

242244052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588099 (or 588081 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 242244052000 its reverse (250442242), we get a palindrome (242494494242).

The spelling of 242244052000 in words is "two hundred forty-two billion, two hundred forty-four million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 103 125 160 200 206 250 400 412 500 515 800 824 1000 1030 1648 2000 2060 2575 3296 4000 4120 5150 8240 10300 12875 16480 20600 25750 41200 51500 82400 103000 206000 412000 587971 1175942 2351884 2939855 4703768 5879710 9407536 11759420 14699275 18815072 23518840 29398550 47037680 58797100 60561013 73496375 94075360 117594200 121122026 146992750 235188400 242244052 293985500 302805065 470376800 484488104 587971000 605610130 968976208 1175942000 1211220260 1514025325 1937952416 2351884000 2422440520 3028050650 4844881040 6056101300 7570126625 9689762080 12112202600 15140253250 24224405200 30280506500 48448810400 60561013000 121122026000 242244052000