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2430221100 = 2235273110969
BaseRepresentation
bin1001000011011010…
…0011101100101100
320021100220000121220
42100312203230230
514434114033400
61041052023340
7114136352466
oct22066435454
96240800556
102430221100
11103788409a
12579a61b50
132c963a468
14190a89136
15e35457a0
hex90da3b2c

2430221100 has 72 divisors (see below), whose sum is σ = 7127825040. Its totient is φ = 639175680.

The previous prime is 2430221089. The next prime is 2430221107. The reversal of 2430221100 is 11220342.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2430221100.

It is not an unprimeable number, because it can be changed into a prime (2430221107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33585 + ... + 77384.

It is an arithmetic number, because the mean of its divisors is an integer number (98997570).

Almost surely, 22430221100 is an apocalyptic number.

2430221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430221100 is an abundant number, since it is smaller than the sum of its proper divisors (4697603940).

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

2430221100 is a wasteful number, since it uses less digits than its factorization.

2430221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111059 (or 111052 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2430221100 is about 49297.2727440373. The cubic root of 2430221100 is about 1344.4621979811.

Adding to 2430221100 its reverse (11220342), we get a palindrome (2441441442).

The spelling of 2430221100 in words is "two billion, four hundred thirty million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 876 1095 1460 1825 2190 3650 4380 5475 7300 10950 21900 110969 221938 332907 443876 554845 665814 1109690 1331628 1664535 2219380 2774225 3329070 5548450 6658140 8100737 8322675 11096900 16201474 16645350 24302211 32402948 33290700 40503685 48604422 81007370 97208844 121511055 162014740 202518425 243022110 405036850 486044220 607555275 810073700 1215110550 2430221100