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42222222990 = 23254761163633
BaseRepresentation
bin100111010100101000…
…111111111010001110
311000222112120011100200
4213110220333322032
51142432342113430
631221400434330
73023206655013
oct472450777216
9130875504320
1042222222990
11169a7387072
1282241789a6
133c9b5950cc
14208779170a
151171b43460
hex9d4a3fe8e

42222222990 has 96 divisors (see below), whose sum is σ = 113952099456. Its totient is φ = 10838983680.

The previous prime is 42222222989. The next prime is 42222223007. The reversal of 42222222990 is 9922222224.

42222222990 is a `hidden beast` number, since 422 + 2 + 2 + 2 + 229 + 9 + 0 = 666.

It is a super-2 number, since 2×422222229902 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176214 + ... + 339846.

It is an arithmetic number, because the mean of its divisors is an integer number (1187001036).

Almost surely, 242222222990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42222222990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56976049728).

42222222990 is an abundant number, since it is smaller than the sum of its proper divisors (71729876466).

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

42222222990 is a wasteful number, since it uses less digits than its factorization.

42222222990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163754 (or 163751 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 42222222990 in words is "forty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 61 90 94 122 141 183 235 282 305 366 423 470 549 610 705 846 915 1098 1410 1830 2115 2745 2867 4230 5490 5734 8601 14335 17202 25803 28670 43005 51606 86010 129015 163633 258030 327266 490899 818165 981798 1472697 1636330 2454495 2945394 4908990 7363485 7690751 9981613 14726970 15381502 19963226 23072253 29944839 38453755 46144506 49908065 59889678 69216759 76907510 89834517 99816130 115361265 138433518 149724195 179669034 230722530 299448390 346083795 449172585 469135811 692167590 898345170 938271622 1407407433 2345679055 2814814866 4222222299 4691358110 7037037165 8444444598 14074074330 21111111495 42222222990