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2240041300 = 2252723139133
BaseRepresentation
bin1000010110000100…
…0101000101010100
312210010000212222121
42011201011011110
514041422310200
61010135505324
7106340015440
oct20541050524
95703025877
102240041300
11a4a499202
12526228244
13299110c33
14173701820
15d19cae1a
hex85845154

2240041300 has 72 divisors (see below), whose sum is σ = 5796878976. Its totient is φ = 734616960.

The previous prime is 2240041283. The next prime is 2240041357. The reversal of 2240041300 is 31400422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53467 + ... + 85666.

It is an arithmetic number, because the mean of its divisors is an integer number (80512208).

Almost surely, 22240041300 is an apocalyptic number.

2240041300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240041300 is an abundant number, since it is smaller than the sum of its proper divisors (3556837676).

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

2240041300 is a wasteful number, since it uses less digits than its factorization.

2240041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139177 (or 139170 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2240041300 is about 47329.0745736698. The cubic root of 2240041300 is about 1308.4345653974.

Adding to 2240041300 its reverse (31400422), we get a palindrome (2271441722).

The spelling of 2240041300 in words is "two billion, two hundred forty million, forty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 1150 1610 2300 3220 4025 8050 16100 139133 278266 556532 695665 973931 1391330 1947862 2782660 3200059 3478325 3895724 4869655 6400118 6956650 9739310 12800236 13913300 16000295 19478620 22400413 24348275 32000590 44800826 48696550 64001180 80001475 89601652 97393100 112002065 160002950 224004130 320005900 448008260 560010325 1120020650 2240041300