Search a number
-
+
222188096 = 26131723683
BaseRepresentation
bin11010011111001…
…01001001000000
3120111002022202202
431033211021000
5423340004341
634014132332
75335365464
oct1517451100
9514068682
10222188096
11104468229
12624b10a8
1337055660
142171a4a4
151478d79b
hexd3e5240

222188096 has 112 divisors (see below), whose sum is σ = 525377664. Its totient is φ = 92184576.

The previous prime is 222188093. The next prime is 222188117. The reversal of 222188096 is 690881222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222188093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324971 + ... + 325653.

It is an arithmetic number, because the mean of its divisors is an integer number (4690872).

Almost surely, 2222188096 is an apocalyptic number.

222188096 is a gapful number since it is divisible by the number (26) 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 222188096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262688832).

222188096 is an abundant number, since it is smaller than the sum of its proper divisors (303189568).

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

222188096 is a wasteful number, since it uses less digits than its factorization.

222188096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 222188096 is about 14905.9751777601. The cubic root of 222188096 is about 605.6758569595.

The spelling of 222188096 in words is "two hundred twenty-two million, one hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 4 8 13 16 17 23 26 32 34 46 52 64 68 92 104 136 184 208 221 272 299 368 391 416 442 544 598 683 736 782 832 884 1088 1196 1366 1472 1564 1768 2392 2732 3128 3536 4784 5083 5464 6256 7072 8879 9568 10166 10928 11611 12512 14144 15709 17758 19136 20332 21856 23222 25024 31418 35516 40664 43712 46444 62836 71032 81328 92888 125672 142064 150943 162656 185776 204217 251344 267053 284128 301886 325312 371552 408434 502688 534106 568256 603772 743104 816868 1005376 1068212 1207544 1633736 2136424 2415088 3267472 3471689 4272848 4830176 6534944 6943378 8545696 9660352 13069888 13886756 17091392 27773512 55547024 111094048 222188096