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152230214221140 = 2235111998009144719
BaseRepresentation
bin100010100111001111011011…
…110101111011110101010100
3201222000001210100222210102110
4202213033123311323311110
5124423114434320034030
61255433332302511020
744031161422641636
oct4247173365736524
9658001710883373
10152230214221140
1144561520326840
12150a729a895470
1366c332acaa7c3
142983da5a3aa56
15128eccd1c31b0
hex8a73dbd7bd54

152230214221140 has 192 divisors, whose sum is σ = 467392343040000. Its totient is φ = 36714007249920.

The previous prime is 152230214221133. The next prime is 152230214221147. The reversal of 152230214221140 is 41122412032251.

It is an interprime number because it is at equal distance from previous prime (152230214221133) and next prime (152230214221147).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 152230214221098 and 152230214221107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152230214221147) 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 63 ways as a sum of consecutive naturals, for example, 1051829701 + ... + 1051974419.

It is an arithmetic number, because the mean of its divisors is an integer number (2434335120000).

Almost surely, 2152230214221140 is an apocalyptic number.

152230214221140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152230214221140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233696171520000).

152230214221140 is an abundant number, since it is smaller than the sum of its proper divisors (315162128818860).

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

152230214221140 is a wasteful number, since it uses less digits than its factorization.

152230214221140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152950 (or 152948 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 152230214221140 its reverse (41122412032251), we get a palindrome (193352626253391).

The spelling of 152230214221140 in words is "one hundred fifty-two trillion, two hundred thirty billion, two hundred fourteen million, two hundred twenty-one thousand, one hundred forty".