Search a number
-
+
242022321300 = 223523499372467
BaseRepresentation
bin1110000101100110100…
…1111000110010010100
3212010200221200210021210
43201121221320302110
512431130203240200
6303103350141420
723325352534164
oct3413151706224
9763627623253
10242022321300
1193706322161
123aaa4951870
1319a90362956
14b9dd0b85a4
15646777c650
hex3859a78c94

242022321300 has 144 divisors (see below), whose sum is σ = 703292139200. Its totient is φ = 64259619840.

The previous prime is 242022321259. The next prime is 242022321301. The reversal of 242022321300 is 3123220242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242022321301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98102667 + ... + 98105133.

Almost surely, 2242022321300 is an apocalyptic number.

242022321300 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 242022321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351646069600).

242022321300 is an abundant number, since it is smaller than the sum of its proper divisors (461269817900).

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

242022321300 is a wasteful number, since it uses less digits than its factorization.

242022321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 242022321300 its reverse (3123220242), we get a palindrome (245145541542).

The spelling of 242022321300 in words is "two hundred forty-two billion, twenty-two million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 349 698 937 1047 1396 1745 1874 2094 2467 2811 3490 3748 4188 4685 4934 5235 5622 6980 7401 8725 9370 9868 10470 11244 12335 14055 14802 17450 18740 20940 23425 24670 26175 28110 29604 34900 37005 46850 49340 52350 56220 61675 70275 74010 93700 104700 123350 140550 148020 185025 246700 281100 327013 370050 654026 740100 860983 981039 1308052 1635065 1721966 1962078 2311579 2582949 3270130 3443932 3924156 4304915 4623158 4905195 5165898 6540260 6934737 8175325 8609830 9246316 9810390 10331796 11557895 12914745 13869474 16350650 17219660 19620780 21524575 23115790 24525975 25829490 27738948 32701300 34673685 43049150 46231580 49051950 51658980 57789475 64573725 69347370 86098300 98103900 115578950 129147450 138694740 173368425 231157900 258294900 346736850 693473700 806741071 1613482142 2420223213 3226964284 4033705355 4840446426 8067410710 9680892852 12101116065 16134821420 20168526775 24202232130 40337053550 48404464260 60505580325 80674107100 121011160650 242022321300