Search a number
-
+
2228979648 = 26374338569
BaseRepresentation
bin1000010011011011…
…1000011111000000
312202100012220020210
42010312320133000
514031104322043
61005102434120
7106144004640
oct20466703700
95670186223
102228979648
11a44223445
12522592940
13296a3a08c
14172062520
15d0a43633
hex84db87c0

2228979648 has 112 divisors (see below), whose sum is σ = 6896933120. Its totient is φ = 622024704.

The previous prime is 2228979619. The next prime is 2228979673. The reversal of 2228979648 is 8469798222.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38508 + ... + 77076.

It is an arithmetic number, because the mean of its divisors is an integer number (61579760).

Almost surely, 22228979648 is an apocalyptic number.

2228979648 is a gapful number since it is divisible by the number (28) 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 2228979648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448466560).

2228979648 is an abundant number, since it is smaller than the sum of its proper divisors (4667953472).

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

2228979648 is a wasteful number, since it uses less digits than its factorization.

2228979648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38634 (or 38624 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The square root of 2228979648 is about 47212.0709988452. The cubic root of 2228979648 is about 1306.2772632970.

The spelling of 2228979648 in words is "two billion, two hundred twenty-eight million, nine hundred seventy-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 129 168 172 192 224 258 301 336 344 448 516 602 672 688 903 1032 1204 1344 1376 1806 2064 2408 2752 3612 4128 4816 7224 8256 9632 14448 19264 28896 38569 57792 77138 115707 154276 231414 269983 308552 462828 539966 617104 809949 925656 1079932 1234208 1619898 1658467 1851312 2159864 2468416 3239796 3316934 3702624 4319728 4975401 6479592 6633868 7405248 8639456 9950802 11609269 12959184 13267736 17278912 19901604 23218538 25918368 26535472 34827807 39803208 46437076 51836736 53070944 69655614 79606416 92874152 106141888 139311228 159212832 185748304 278622456 318425664 371496608 557244912 742993216 1114489824 2228979648