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221234342004 = 223213538919301
BaseRepresentation
bin1100111000001010011…
…0000010100001110100
3210011001012110000122200
43032002212002201310
512111041442421004
6245344511424500
721661251610434
oct3160246024164
9704035400580
10221234342004
1185909022685
1236a62b25130
1317b296536a0
14a9ca2b62c4
155b4c761239
hex3382982874

221234342004 has 72 divisors (see below), whose sum is σ = 613612300392. Its totient is φ = 66787718400.

The previous prime is 221234341961. The next prime is 221234342009. The reversal of 221234342004 is 400243432122.

221234342004 is a `hidden beast` number, since 2 + 2 + 1 + 23 + 434 + 200 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3147210000 + 218087132004 = 56100^2 + 466998^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221234342009) 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, 4434847 + ... + 4484454.

It is an arithmetic number, because the mean of its divisors is an integer number (8522393061).

Almost surely, 2221234342004 is an apocalyptic number.

It is an amenable number.

221234342004 is an abundant number, since it is smaller than the sum of its proper divisors (392377958388).

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

221234342004 is a wasteful number, since it uses less digits than its factorization.

221234342004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8919377 (or 8919372 counting only the distinct ones).

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

Adding to 221234342004 its reverse (400243432122), we get a palindrome (621477774126).

The spelling of 221234342004 in words is "two hundred twenty-one billion, two hundred thirty-four million, three hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 318 468 477 636 689 954 1378 1908 2067 2756 4134 6201 8268 12402 24804 8919301 17838602 26757903 35677204 53515806 80273709 107031612 115950913 160547418 231901826 321094836 347852739 463803652 472722953 695705478 945445906 1043558217 1391410956 1418168859 1890891812 2087116434 2836337718 4174232868 4254506577 5672675436 6145398389 8509013154 12290796778 17018026308 18436195167 24581593556 36872390334 55308585501 73744780668 110617171002 221234342004