Search a number
-
+
22142203403985 = 335731224381793
BaseRepresentation
bin1010000100011011000100…
…01010110001111011010001
32220101202220020002202102000
411002031202022301323101
510400234213032411420
6115031553211344213
74443502304353410
oct502154212617321
986352806082360
1022142203403985
117067501636a95
122597383152069
13c48001a60c22
1456798cc21477
15285e82225690
hex1423622b1ed1

22142203403985 has 96 divisors (see below), whose sum is σ = 46485353168640. Its totient is φ = 9795628753920.

The previous prime is 22142203403939. The next prime is 22142203404037. The reversal of 22142203403985 is 58930430224122.

22142203403985 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 220 + 34 + 0 + 398 + 5 = 666.

It is not a de Polignac number, because 22142203403985 - 29 = 22142203403473 is a prime.

It is a super-2 number, since 2×221422034039852 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 22142203403985.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11282752 + ... + 13099041.

It is an arithmetic number, because the mean of its divisors is an integer number (484222428840).

Almost surely, 222142203403985 is an apocalyptic number.

It is an amenable number.

22142203403985 is an abundant number, since it is smaller than the sum of its proper divisors (24343149764655).

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

22142203403985 is a wasteful number, since it uses less digits than its factorization.

22142203403985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24381876 (or 24381839 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 22142203403985 in words is "twenty-two trillion, one hundred forty-two billion, two hundred three million, four hundred three thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 63 93 105 135 155 189 217 279 315 465 651 837 945 961 1085 1395 1953 2883 3255 4185 4805 5859 6727 8649 9765 14415 20181 25947 29295 33635 43245 60543 100905 129735 181629 302715 908145 24381793 73145379 121908965 170672551 219436137 365726895 512017653 658308411 755835583 853362755 1097180685 1536052959 2267506749 2560088265 3291542055 3779177915 4608158877 5290849081 6802520247 7680264795 11337533745 15872547243 20407560741 23040794385 23430903073 26454245405 34012601235 47617641729 70292709219 79362736215 102037803705 117154515365 142852925187 164016321511 210878127657 238088208645 351463546095 492048964533 632634382971 714264625935 820081607555 1054390638285 1476146893599 2460244822665 3163171914855 4428440680797 7380734467995 22142203403985