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153225231000000 = 2635669677331
BaseRepresentation
bin100010110101101110000111…
…011101101110000111000000
3202002112012002210121100121120
4202311232013131232013000
5130040420233114000000
61301514411021352240
744163105031005315
oct4265560735560700
9662465083540546
10153225231000000
1144905501364955
12152280aba08680
136766100a40983
1429ba1d830cd0c
1512aab171e96a0
hex8b5b8776e1c0

153225231000000 has 392 divisors, whose sum is σ = 506895914149248. Its totient is φ = 40848624000000.

The previous prime is 153225230999947. The next prime is 153225231000019. The reversal of 153225231000000 is 132522351.

It is a happy number.

153225231000000 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1532252310000002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20900996335 + ... + 20901003665.

Almost surely, 2153225231000000 is an apocalyptic number.

153225231000000 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 153225231000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253447957074624).

153225231000000 is an abundant number, since it is smaller than the sum of its proper divisors (353670683149248).

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

153225231000000 is an frugal number, since it uses more digits than its factorization.

153225231000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14343 (or 14308 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 153225231000000 its reverse (132522351), we get a palindrome (153225363522351).

The spelling of 153225231000000 in words is "one hundred fifty-three trillion, two hundred twenty-five billion, two hundred thirty-one million", and thus it is an aban number.