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2123225433 = 337193119073
BaseRepresentation
bin111111010001101…
…1101100101011001
312110222020000202000
41332203131211121
513322021203213
6550404031213
7103421055420
oct17643354531
95428200660
102123225433
1199a56176a
124b3092509
1327ab60414
14161db42b7
15c6603c73
hex7e8dd959

2123225433 has 64 divisors (see below), whose sum is σ = 3906355200. Its totient is φ = 1112279040.

The previous prime is 2123225431. The next prime is 2123225437. The reversal of 2123225433 is 3345223212.

2123225433 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 225 + 433 = 666.

It is not a de Polignac number, because 2123225433 - 21 = 2123225431 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2123225397 and 2123225406.

It is not an unprimeable number, because it can be changed into a prime (2123225431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101785 + ... + 120857.

It is an arithmetic number, because the mean of its divisors is an integer number (61036800).

Almost surely, 22123225433 is an apocalyptic number.

It is an amenable number.

2123225433 is a deficient number, since it is larger than the sum of its proper divisors (1783129767).

2123225433 is a wasteful number, since it uses less digits than its factorization.

2123225433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19139 (or 19133 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 2123225433 is about 46078.4703847686. The cubic root of 2123225433 is about 1285.2828202549.

Adding to 2123225433 its reverse (3345223212), we get a palindrome (5468448645).

It can be divided in two parts, 21232 and 25433, that added together give a triangular number (46665 = T305).

The spelling of 2123225433 in words is "two billion, one hundred twenty-three million, two hundred twenty-five thousand, four hundred thirty-three".

Divisors: 1 3 7 9 19 21 27 31 57 63 93 133 171 189 217 279 399 513 589 651 837 1197 1767 1953 3591 4123 5301 5859 12369 15903 19073 37107 57219 111321 133511 171657 362387 400533 514971 591263 1087161 1201599 1773789 2536709 3261483 3604797 4138841 5321367 7610127 9784449 11233997 12416523 15964101 22830381 33701991 37249569 68491143 78637979 101105973 111748707 235913937 303317919 707741811 2123225433