Search a number
-
+
221476896 = 2533318269
BaseRepresentation
bin11010011001101…
…11100000100000
3120102202012012000
431030313200200
5423144230041
633551004000
75326344144
oct1514674040
9512665160
10221476896
11104021963
1262209600
1336b66a24
14215b3224
151469cbb6
hexd337820

221476896 has 96 divisors (see below), whose sum is σ = 666892800. Its totient is φ = 71435520.

The previous prime is 221476889. The next prime is 221476919. The reversal of 221476896 is 698674122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22650 + ... + 30918.

It is an arithmetic number, because the mean of its divisors is an integer number (6946800).

Almost surely, 2221476896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221476896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333446400).

221476896 is an abundant number, since it is smaller than the sum of its proper divisors (445415904).

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

221476896 is a wasteful number, since it uses less digits than its factorization.

221476896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8319 (or 8305 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 221476896 is about 14882.0998518354. The cubic root of 221476896 is about 605.0289319771.

The spelling of 221476896 in words is "two hundred twenty-one million, four hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 6696 8269 8928 13392 16538 24807 26784 33076 49614 66152 74421 99228 132304 148842 198456 223263 256339 264608 297684 396912 446526 512678 595368 769017 793824 893052 1025356 1190736 1538034 1786104 2050712 2307051 2381472 3076068 3572208 4101424 4614102 6152136 6921153 7144416 8202848 9228204 12304272 13842306 18456408 24608544 27684612 36912816 55369224 73825632 110738448 221476896