Search a number
-
+
221064075744 = 25310912110679
BaseRepresentation
bin1100110111100001110…
…0100001100111100000
3210010121100001121020220
43031320130201213200
512110214400410434
6245315550203040
721654113432361
oct3157034414740
9703540047226
10221064075744
11858309a9066
1236a15ab3480
1317b002aa115
14a9b1833b68
155b3c82bd49
hex33787219e0

221064075744 has 48 divisors (see below), whose sum is σ = 580825365120. Its totient is φ = 73620448640.

The previous prime is 221064075721. The next prime is 221064075769. The reversal of 221064075744 is 447570460122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 221064075696 and 221064075705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 950604 + ... + 1160075.

It is an arithmetic number, because the mean of its divisors is an integer number (12100528440).

Almost surely, 2221064075744 is an apocalyptic number.

221064075744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221064075744 is an abundant number, since it is smaller than the sum of its proper divisors (359761289376).

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

221064075744 is a wasteful number, since it uses less digits than its factorization.

221064075744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111783 (or 2111775 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 221064075744 in words is "two hundred twenty-one billion, sixty-four million, seventy-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1091 2182 3273 4364 6546 8728 13092 17456 26184 34912 52368 104736 2110679 4221358 6332037 8442716 12664074 16885432 25328148 33770864 50656296 67541728 101312592 202625184 2302750789 4605501578 6908252367 9211003156 13816504734 18422006312 27633009468 36844012624 55266018936 73688025248 110532037872 221064075744