Search a number
-
+
223122220002 = 23311375626633
BaseRepresentation
bin1100111111001100011…
…1101110001111100010
3210022220202211011102000
43033303013232033202
512123423242020002
6250300111304430
722056114402063
oct3176307561742
9708822734360
10223122220002
1186697749330
12372ab21b116
131806a801866
14ab28d0656a
155c0d37761c
hex33f31ee3e2

223122220002 has 32 divisors (see below), whose sum is σ = 540902352960. Its totient is φ = 67612793760.

The previous prime is 223122219979. The next prime is 223122220033. The reversal of 223122220002 is 200022221322.

It is a super-3 number, since 3×2231222200023 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187812723 + ... + 187813910.

It is an arithmetic number, because the mean of its divisors is an integer number (16903198530).

Almost surely, 2223122220002 is an apocalyptic number.

223122220002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

223122220002 is an abundant number, since it is smaller than the sum of its proper divisors (317780132958).

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

223122220002 is a wasteful number, since it uses less digits than its factorization.

223122220002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375626655 (or 375626649 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 223122220002 its reverse (200022221322), we get a palindrome (423144441324).

The spelling of 223122220002 in words is "two hundred twenty-three billion, one hundred twenty-two million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 375626633 751253266 1126879899 2253759798 3380639697 4131892963 6761279394 8263785926 10141919091 12395678889 20283838182 24791357778 37187036667 74374073334 111561110001 223122220002