Search a number
-
+
202242255443550 = 232527611052522797
BaseRepresentation
bin101101111111000000110001…
…110010110101011001011110
3222112002011121111211112102200
4231333000301302311121132
5203002014114343143200
61554044450505232330
760412343424155550
oct5577006162653136
9875064544745380
10202242255443550
1159493505831503
121a823aa21926a6
1388b049426934a
1437d28125134d0
15185abb9ee7800
hexb7f031cb565e

202242255443550 has 144 divisors (see below), whose sum is σ = 631160031139872. Its totient is φ = 45468984787200.

The previous prime is 202242255443513. The next prime is 202242255443551. The reversal of 202242255443550 is 55344552242202.

202242255443550 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 4 + 2 + 2 + 5 + 54 + 43 + 550 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 202242255443496 and 202242255443505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202242255443551) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 526069249 + ... + 526453548.

Almost surely, 2202242255443550 is an apocalyptic number.

202242255443550 is an abundant number, since it is smaller than the sum of its proper divisors (428917775696322).

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

202242255443550 is a wasteful number, since it uses less digits than its factorization.

202242255443550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052522883 (or 1052522875 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 45.

The spelling of 202242255443550 in words is "two hundred two trillion, two hundred forty-two billion, two hundred fifty-five million, four hundred forty-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 61 63 70 75 90 105 122 126 150 175 183 210 225 305 315 350 366 427 450 525 549 610 630 854 915 1050 1098 1281 1525 1575 1830 2135 2562 2745 3050 3150 3843 4270 4575 5490 6405 7686 9150 10675 12810 13725 19215 21350 27450 32025 38430 64050 96075 192150 1052522797 2105045594 3157568391 5262613985 6315136782 7367659579 9472705173 10525227970 14735319158 15787841955 18945410346 22102978737 26313069925 31575683910 36838297895 44205957474 47363525865 52626139850 64203890617 66308936211 73676595790 78939209775 94727051730 110514893685 128407781234 132617872422 157878419550 184191489475 192611671851 221029787370 236817629325 321019453085 331544681055 368382978950 385223343702 449427234319 473635258650 552574468425 577835015553 642038906170 663089362110 898854468638 963058359255 1105148936850 1155670031106 1348281702957 1605097265425 1657723405275 1926116718510 2247136171595 2696563405914 2889175077765 3210194530850 3315446810550 4044845108871 4494272343190 4815291796275 5778350155530 6741408514785 8089690217742 9630583592550 11235680857975 13482817029570 14445875388825 20224225544355 22471361715950 28891750777650 33707042573925 40448451088710 67414085147850 101121127721775 202242255443550