Search a number
-
+
222203224222431 = 32503271910883261
BaseRepresentation
bin110010100001011110111000…
…001111110110101011011111
31002010202102100202011120101020
4302201132320033312223133
5213111034200400104211
62104330430233015223
764542440016255054
oct6241367017665337
91063672322146336
10222203224222431
116488994927a401
1220b08582254513
1396ca89c0c5c6a
143cc299cb0502b
151aa503845c306
hexca17b83f6adf

222203224222431 has 16 divisors (see below), whose sum is σ = 296498365962240. Its totient is φ = 148021826202720.

The previous prime is 222203224222403. The next prime is 222203224222433. The reversal of 222203224222431 is 134222422302222.

It is not a de Polignac number, because 222203224222431 - 215 = 222203224189663 is a prime.

It is a super-2 number, since 2×2222032242224312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222203224222392 and 222203224222401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222203224222433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14975341 + ... + 25858601.

It is an arithmetic number, because the mean of its divisors is an integer number (18531147872640).

Almost surely, 2222203224222431 is an apocalyptic number.

222203224222431 is a deficient number, since it is larger than the sum of its proper divisors (74295141739809).

222203224222431 is a wasteful number, since it uses less digits than its factorization.

222203224222431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10888486.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 222203224222431 its reverse (134222422302222), we get a palindrome (356425646524653).

The spelling of 222203224222431 in words is "two hundred twenty-two trillion, two hundred three billion, two hundred twenty-four million, two hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 3 2503 2719 7509 8157 6805657 10883261 20416971 32649783 27240802283 29591586659 81722406849 88774759977 74067741407477 222203224222431