Search a number
-
+
2427230100 = 2235214875441
BaseRepresentation
bin1001000010101100…
…1001011110010100
320021011021001202010
42100223021132110
514432332330400
61040503544220
7114102054411
oct22053113624
96234231663
102427230100
111036120999
12578a5b070
132c8b30c39
1419050b108
15e3154450
hex90ac9794

2427230100 has 72 divisors (see below), whose sum is σ = 7028800128. Its totient is φ = 646707200.

The previous prime is 2427230059. The next prime is 2427230137. The reversal of 2427230100 is 10327242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443380 + ... + 448820.

It is an arithmetic number, because the mean of its divisors is an integer number (97622224).

Almost surely, 22427230100 is an apocalyptic number.

2427230100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2427230100 is an abundant number, since it is smaller than the sum of its proper divisors (4601570028).

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

2427230100 is a wasteful number, since it uses less digits than its factorization.

2427230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6945 (or 6938 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2427230100 is about 49266.9270403584. The cubic root of 2427230100 is about 1343.9104049366.

Adding to 2427230100 its reverse (10327242), we get a palindrome (2437557342).

The spelling of 2427230100 in words is "two billion, four hundred twenty-seven million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1487 2974 4461 5441 5948 7435 8922 10882 14870 16323 17844 21764 22305 27205 29740 32646 37175 44610 54410 65292 74350 81615 89220 108820 111525 136025 148700 163230 223050 272050 326460 408075 446100 544100 816150 1632300 8090767 16181534 24272301 32363068 40453835 48544602 80907670 97089204 121361505 161815340 202269175 242723010 404538350 485446020 606807525 809076700 1213615050 2427230100