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2240120100 = 2235213815407
BaseRepresentation
bin1000010110000101…
…1000010100100100
312210010011220002010
42011201120110210
514041432320400
61010141314220
7106340464251
oct20541302444
95703156063
102240120100
11a4a542429
12526265970
1329913aa6a
14173722428
15d19e4450
hex85858524

2240120100 has 72 divisors (see below), whose sum is σ = 6487307008. Its totient is φ = 596822400.

The previous prime is 2240120093. The next prime is 2240120111. The reversal of 2240120100 is 10210422.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 411597 + ... + 417003.

Almost surely, 22240120100 is an apocalyptic number.

2240120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240120100 is an abundant number, since it is smaller than the sum of its proper divisors (4247186908).

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

2240120100 is a wasteful number, since it uses less digits than its factorization.

2240120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6805 (or 6798 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2240120100 is about 47329.9070356154. The cubic root of 2240120100 is about 1308.4499078875.

Adding to 2240120100 its reverse (10210422), we get a palindrome (2250330522).

The spelling of 2240120100 in words is "two billion, two hundred forty million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1381 2762 4143 5407 5524 6905 8286 10814 13810 16221 16572 20715 21628 27035 27620 32442 34525 41430 54070 64884 69050 81105 82860 103575 108140 135175 138100 162210 207150 270350 324420 405525 414300 540700 811050 1622100 7467067 14934134 22401201 29868268 37335335 44802402 74670670 89604804 112006005 149341340 186676675 224012010 373353350 448024020 560030025 746706700 1120060050 2240120100