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242265155022 = 232117157729867
BaseRepresentation
bin1110000110100000100…
…0001110010111001110
3212011022212122000112100
43201220020032113032
512432124334430042
6303143423015530
723334361561212
oct3415010162716
9764285560470
10242265155022
1193820400790
123ab5213a5a6
1319acb766547
14ba2344a942
15647dc4824c
hex386820e5ce

242265155022 has 96 divisors (see below), whose sum is σ = 581717769984. Its totient is φ = 72251827200.

The previous prime is 242265154997. The next prime is 242265155029. The reversal of 242265155022 is 220551562242.

242265155022 is a `hidden beast` number, since 2 + 4 + 22 + 65 + 1 + 550 + 22 = 666.

It is a super-3 number, since 3×2422651550223 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242265155029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8096533 + ... + 8126399.

It is an arithmetic number, because the mean of its divisors is an integer number (6059560104).

Almost surely, 2242265155022 is an apocalyptic number.

242265155022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242265155022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290858884992).

242265155022 is an abundant number, since it is smaller than the sum of its proper divisors (339452614962).

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

242265155022 is a wasteful number, since it uses less digits than its factorization.

242265155022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30534 (or 30531 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 242265155022 in words is "two hundred forty-two billion, two hundred sixty-five million, one hundred fifty-five thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 426 577 639 781 1154 1278 1562 1731 2343 3462 4686 5193 6347 7029 10386 12694 14058 19041 29867 38082 40967 57123 59734 81934 89601 114246 122901 179202 245802 268803 328537 368703 450637 537606 657074 737406 901274 985611 1351911 1971222 2120557 2703822 2956833 4055733 4241114 5913666 6361671 8111466 12723342 17233259 19085013 23326127 34466518 38170026 46652254 51699777 69978381 103399554 139956762 155099331 189565849 209935143 310198662 379131698 419870286 568697547 1137395094 1223561389 1706092641 2447122778 3412185282 3670684167 7341368334 11012052501 13459175279 22024105002 26918350558 40377525837 80755051674 121132577511 242265155022