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2240100 = 22325219131
BaseRepresentation
bin1000100010111001100100
311012210211200
420202321210
51033140400
6120002500
725016622
oct10427144
94183750
102240100
1112a0025
12900430
13605805
14424512
152e3b00
hex222e64

2240100 has 108 divisors (see below), whose sum is σ = 7447440. Its totient is φ = 561600.

The previous prime is 2240089. The next prime is 2240101. The reversal of 2240100 is 10422.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2240101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17035 + ... + 17165.

22240100 is an apocalyptic number.

2240100 is a gapful number since it is divisible by the number (20) 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 2240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723720).

2240100 is an abundant number, since it is smaller than the sum of its proper divisors (5207340).

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

2240100 is a wasteful number, since it uses less digits than its factorization.

2240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2240100 is about 1496.6963619920. The cubic root of 2240100 is about 130.8445994419.

Adding to 2240100 its reverse (10422), we get a palindrome (2250522).

The spelling of 2240100 in words is "two million, two hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 131 150 171 180 190 225 228 262 285 300 342 380 393 450 475 524 570 655 684 786 855 900 950 1140 1179 1310 1425 1572 1710 1900 1965 2358 2489 2620 2850 3275 3420 3930 4275 4716 4978 5700 5895 6550 7467 7860 8550 9825 9956 11790 12445 13100 14934 17100 19650 22401 23580 24890 29475 29868 37335 39300 44802 49780 58950 62225 74670 89604 112005 117900 124450 149340 186675 224010 248900 373350 448020 560025 746700 1120050 2240100