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221003230223232 = 2732191843081791
BaseRepresentation
bin110010010000000001010011…
…000010000001101110000000
31001222111200222002202022221200
4302100001103002001232000
5212431404103414120412
62102011252105021200
764356646032464052
oct6220012302015600
91058450862668850
10221003230223232
1164466a41a11856
1220953aa6784800
139641690b2c732
143c808832dd8d2
151a83c040599dc
hexc90053081b80

221003230223232 has 48 divisors (see below), whose sum is σ = 635959816140480. Its totient is φ = 73667743407360.

The previous prime is 221003230223207. The next prime is 221003230223267. The reversal of 221003230223232 is 232322032300122.

221003230223232 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 0 + 32 + 302 + 2 + 323 + 2 = 666.

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

It is a super-2 number, since 2×2210032302232322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221003230223196 and 221003230223205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95921539744 + ... + 95921542047.

It is an arithmetic number, because the mean of its divisors is an integer number (13249162836260).

Almost surely, 2221003230223232 is an apocalyptic number.

It is an amenable number.

221003230223232 is an abundant number, since it is smaller than the sum of its proper divisors (414956585917248).

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

221003230223232 is a wasteful number, since it uses less digits than its factorization.

221003230223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191843081811 (or 191843081796 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 221003230223232 its reverse (232322032300122), we get a palindrome (453325262523354).

The spelling of 221003230223232 in words is "two hundred twenty-one trillion, three billion, two hundred thirty million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 191843081791 383686163582 575529245373 767372327164 1151058490746 1534744654328 1726587736119 2302116981492 3069489308656 3453175472238 4604233962984 6138978617312 6906350944476 9208467925968 12277957234624 13812701888952 18416935851936 24555914469248 27625403777904 36833871703872 55250807555808 73667743407744 110501615111616 221003230223232