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2240208 = 243247331
BaseRepresentation
bin1000100010111011010000
311012210222200
420202323100
51033141313
6120003200
725020135
oct10427320
94183880
102240208
1112a0113
12900500
13605889
1442458c
152e3b73
hex222ed0

2240208 has 60 divisors (see below), whose sum is σ = 6422208. Its totient is φ = 728640.

The previous prime is 2240201. The next prime is 2240213. The reversal of 2240208 is 8020422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6603 + ... + 6933.

22240208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211104).

2240208 is an abundant number, since it is smaller than the sum of its proper divisors (4182000).

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

2240208 is a wasteful number, since it uses less digits than its factorization.

2240208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2240208 is about 1496.7324410194. The cubic root of 2240208 is about 130.8467021738.

The spelling of 2240208 in words is "two million, two hundred forty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 331 376 423 564 662 752 846 993 1128 1324 1692 1986 2256 2648 2979 3384 3972 5296 5958 6768 7944 11916 15557 15888 23832 31114 46671 47664 62228 93342 124456 140013 186684 248912 280026 373368 560052 746736 1120104 2240208