Search a number
-
+
222574940 = 225711631367
BaseRepresentation
bin11010100010000…
…11100101011100
3120111210222102022
431101003211130
5423434344230
634030315312
75341566350
oct1521034534
9514728368
10222574940
11104701935
1262658b38
133715c763
14217bb460
15148181e5
hexd44395c

222574940 has 48 divisors (see below), whose sum is σ = 535030272. Its totient is φ = 76190016.

The previous prime is 222574927. The next prime is 222574967. The reversal of 222574940 is 49475222.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 222574940.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162137 + ... + 163503.

It is an arithmetic number, because the mean of its divisors is an integer number (11146464).

Almost surely, 2222574940 is an apocalyptic number.

222574940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222574940 is an abundant number, since it is smaller than the sum of its proper divisors (312455332).

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

222574940 is a wasteful number, since it uses less digits than its factorization.

222574940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 222574940 is about 14918.9456732036. The cubic root of 222574940 is about 606.0271602447.

The spelling of 222574940 in words is "two hundred twenty-two million, five hundred seventy-four thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1163 1367 2326 2734 4652 5468 5815 6835 8141 9569 11630 13670 16282 19138 23260 27340 32564 38276 40705 47845 81410 95690 162820 191380 1589821 3179642 6359284 7949105 11128747 15898210 22257494 31796420 44514988 55643735 111287470 222574940