Search a number
-
+
223402640216 = 23710340196587
BaseRepresentation
bin1101000000001111010…
…1011100001101011000
3210100122022110222121212
43100003311130031120
512130012033441331
6250344005522252
722066061052530
oct3200365341530
9710568428555
10223402640216
1186820a6a178
1237369113388
13180b3935592
14ab542604c0
155c27cb9d2b
hex3403d5c358

223402640216 has 64 divisors (see below), whose sum is σ = 484578132480. Its totient is φ = 94577011200.

The previous prime is 223402640173. The next prime is 223402640231. The reversal of 223402640216 is 612046204322.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2264675 + ... + 2361261.

It is an arithmetic number, because the mean of its divisors is an integer number (7571533320).

Almost surely, 2223402640216 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 223402640216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242289066240).

223402640216 is an abundant number, since it is smaller than the sum of its proper divisors (261175492264).

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

223402640216 is a wasteful number, since it uses less digits than its factorization.

223402640216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97104 (or 97100 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 223402640216 its reverse (612046204322), we get a palindrome (835448844538).

The spelling of 223402640216 in words is "two hundred twenty-three billion, four hundred two million, six hundred forty thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 103 206 401 412 721 802 824 1442 1604 2807 2884 3208 5614 5768 11228 22456 41303 82606 96587 165212 193174 289121 330424 386348 578242 676109 772696 1156484 1352218 2312968 2704436 5408872 9948461 19896922 38731387 39793844 69639227 77462774 79587688 139278454 154925548 271119709 278556908 309851096 542239418 557113816 1084478836 2168957672 3989332861 7978665722 15957331444 27925330027 31914662888 55850660054 111701320108 223402640216