152220022251 has 32 divisors (see below), whose sum is σ = 231667458048. Its totient is φ = 88002884640.

The previous prime is 152220022249. The next prime is 152220022271.

152220022251 is nontrivially palindromic in base 10.

152220022251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152220022251 - 2¹ = 152220022249 is a prime.

It is a super-3 number, since 3×152220022251³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (152220022211) 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 31 ways as a sum of consecutive naturals, for example, 5320 + ... + 551786.

It is an arithmetic number, because the mean of its divisors is an integer number (7239608064).

Almost surely, 2^152220022251 is an apocalyptic number.

152220022251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

152220022251 is a deficient number, since it is larger than the sum of its proper divisors (79447435797).

152220022251 is a wasteful number, since it uses less digits than its factorization.

152220022251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546871.

The product of its (nonzero) digits is 1600, while the sum is 24.

It can be divided in two parts, 1522200 and 22251, that added together give a palindrome (1544451).

The spelling of 152220022251 in words is "one hundred fifty-two billion, two hundred twenty million, twenty-two thousand, two hundred fifty-one".