Search a number
-
+
248820222 = 23783137521
BaseRepresentation
bin11101101010010…
…11000111111110
3122100012101011210
432311023013332
51002144221342
640405025250
76110636250
oct1665130776
9570171153
10248820222
111184a8352
126b3b5226
133c71b701
142508dcd0
1516c9e79c
hexed4b1fe

248820222 has 64 divisors (see below), whose sum is σ = 580898304. Its totient is φ = 69588480.

The previous prime is 248820199. The next prime is 248820223. The reversal of 248820222 is 222028842.

It is a super-2 number, since 2×2488202222 = 123823005752258568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 248820222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248820223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477322 + ... + 477842.

It is an arithmetic number, because the mean of its divisors is an integer number (9076536).

Almost surely, 2248820222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248820222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290449152).

248820222 is an abundant number, since it is smaller than the sum of its proper divisors (332078082).

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

248820222 is a wasteful number, since it uses less digits than its factorization.

248820222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753.

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 248820222 is about 15774.0363255573. The cubic root of 248820222 is about 628.9680106199.

The spelling of 248820222 in words is "two hundred forty-eight million, eight hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 83 137 166 249 274 411 498 521 581 822 959 1042 1162 1563 1743 1918 2877 3126 3486 3647 5754 7294 10941 11371 21882 22742 34113 43243 68226 71377 79597 86486 129729 142754 159194 214131 238791 259458 302701 428262 477582 499639 605402 908103 999278 1498917 1816206 2997834 5924291 11848582 17772873 35545746 41470037 82940074 124410111 248820222