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221533733006456 = 231314295911490029
BaseRepresentation
bin110010010111101111010111…
…011101100010110001111000
31002001101102021202022222111012
4302113233113131202301320
5213014102041122201311
62103055105244453052
764443166264650533
oct6227572735426170
91061342252288435
10221533733006456
1164650a23a00802
1220a1a87ab4a188
13967c706560460
143c9c40b649a1a
151a929029ce78b
hexc97bd7762c78

221533733006456 has 32 divisors (see below), whose sum is σ = 447328343229600. Its totient is φ = 102246198168960.

The previous prime is 221533733006329. The next prime is 221533733006459. The reversal of 221533733006456 is 654600337335122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221533733006459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147932450 + ... + 149422478.

It is an arithmetic number, because the mean of its divisors is an integer number (13979010725925).

Almost surely, 2221533733006456 is an apocalyptic number.

221533733006456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

221533733006456 is an abundant number, since it is smaller than the sum of its proper divisors (225794610223144).

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

221533733006456 is a wasteful number, since it uses less digits than its factorization.

221533733006456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919639 (or 2919635 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 50.

The spelling of 221533733006456 in words is "two hundred twenty-one trillion, five hundred thirty-three billion, seven hundred thirty-three million, six thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 104 1429591 1490029 2859182 2980058 5718364 5960116 11436728 11920232 18584683 19370377 37169366 38740754 74338732 77481508 148677464 154963016 2130132048139 4260264096278 8520528192556 17041056385112 27691716625807 55383433251614 110766866503228 221533733006456