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221342420430 = 23254875050021
BaseRepresentation
bin1100111000100100001…
…0010100110111001110
3210011022201210222101100
43032021002110313032
512111302124423210
6245403332123530
721664033350045
oct3161102246716
9704281728340
10221342420430
118596403159a
1236a931665a6
1317b45b65211
14a9da7ab55c
155b56eae5c0
hex3389094dce

221342420430 has 48 divisors (see below), whose sum is σ = 576672112224. Its totient is φ = 58903433280.

The previous prime is 221342420419. The next prime is 221342420437. The reversal of 221342420430 is 34024243122.

221342420430 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 424 + 204 + 30 = 666.

221342420430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2213424204303 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221342420394 and 221342420403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221342420437) 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, 2481181 + ... + 2568840.

It is an arithmetic number, because the mean of its divisors is an integer number (12014002338).

Almost surely, 2221342420430 is an apocalyptic number.

221342420430 is an abundant number, since it is smaller than the sum of its proper divisors (355329691794).

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

221342420430 is a wasteful number, since it uses less digits than its factorization.

221342420430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5050521 (or 5050518 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 221342420430 its reverse (34024243122), we get a palindrome (255366663552).

The spelling of 221342420430 in words is "two hundred twenty-one billion, three hundred forty-two million, four hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 487 974 1461 2435 2922 4383 4870 7305 8766 14610 21915 43830 5050021 10100042 15150063 25250105 30300126 45450189 50500210 75750315 90900378 151500630 227250945 454501890 2459360227 4918720454 7378080681 12296801135 14756161362 22134242043 24593602270 36890403405 44268484086 73780806810 110671210215 221342420430