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4242200430 = 2351310999793
BaseRepresentation
bin1111110011011010…
…1101011101101110
3101221122110002222110
43330312231131232
532142000403210
61540541024450
7210061052166
oct37466553556
911848402873
104242200430
11188767aa76
129a4855126
13527b62c90
142c359d5a6
1519c668420
hexfcdad76e

4242200430 has 64 divisors (see below), whose sum is σ = 11065158720. Its totient is φ = 1034643456.

The previous prime is 4242200429. The next prime is 4242200449. The reversal of 4242200430 is 340022424.

It is a junction number, because it is equal to n+sod(n) for n = 4242200397 and 4242200406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7387 + ... + 92406.

It is an arithmetic number, because the mean of its divisors is an integer number (172893105).

Almost surely, 24242200430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242200430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5532579360).

4242200430 is an abundant number, since it is smaller than the sum of its proper divisors (6822958290).

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

4242200430 is a wasteful number, since it uses less digits than its factorization.

4242200430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99925.

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 4242200430 is about 65132.1766103360. The cubic root of 4242200430 is about 1618.8144084130.

Adding to 4242200430 its reverse (340022424), we get a palindrome (4582222854).

The spelling of 4242200430 in words is "four billion, two hundred forty-two million, two hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 109 130 195 218 327 390 545 654 1090 1417 1635 2834 3270 4251 7085 8502 14170 21255 42510 99793 199586 299379 498965 598758 997930 1297309 1496895 2594618 2993790 3891927 6486545 7783854 10877437 12973090 19459635 21754874 32632311 38919270 54387185 65264622 108774370 141406681 163161555 282813362 326323110 424220043 707033405 848440086 1414066810 2121100215 4242200430