Search a number
-
+
222085243512 = 2332111877149393
BaseRepresentation
bin1100111011010101001…
…1111110001001111000
3210020020111120022002100
43032311103332021320
512114312310243022
6250005145303400
722021323265026
oct3166523761170
9706214508070
10222085243512
118620536a570
123705ba94b60
1317c33a190c2
14aa6b2d1716
155b9c2e01ac
hex33b54fe278

222085243512 has 96 divisors (see below), whose sum is σ = 656514920880. Its totient is φ = 67262254080.

The previous prime is 222085243511. The next prime is 222085243529. The reversal of 222085243512 is 215342580222.

222085243512 is a `hidden beast` number, since 2 + 2 + 20 + 85 + 2 + 43 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222085243511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1411888 + ... + 1561280.

Almost surely, 2222085243512 is an apocalyptic number.

222085243512 is a gapful number since it is divisible by the number (22) 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 222085243512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328257460440).

222085243512 is an abundant number, since it is smaller than the sum of its proper divisors (434429677368).

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

222085243512 is a wasteful number, since it uses less digits than its factorization.

222085243512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151293 (or 151286 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 222085243512 in words is "two hundred twenty-two billion, eighty-five million, two hundred forty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1877 3754 5631 7508 11262 15016 16893 20647 22524 33786 41294 45048 61941 67572 82588 123882 135144 149393 165176 185823 247764 298786 371646 448179 495528 597572 743292 896358 1195144 1344537 1486584 1643323 1792716 2689074 3286646 3585432 4929969 5378148 6573292 9859938 10756296 13146584 14789907 19719876 29579814 39439752 59159628 118319256 280410661 560821322 841231983 1121642644 1682463966 2243285288 2523695949 3084517271 3364927932 5047391898 6169034542 6729855864 9253551813 10094783796 12338069084 18507103626 20189567592 24676138168 27760655439 37014207252 55521310878 74028414504 111042621756 222085243512