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235131150400 = 26525325710789
BaseRepresentation
bin1101101011111011101…
…0001010000001000000
3211110220200202000221221
43122332322022001000
512323022033303100
6300003500324424
722662524542006
oct3327672120100
9743820660857
10235131150400
119079a44a4a3
12396a0b43714
1319232772133
14b547baaa76
1561b27ae01a
hex36bee8a040

235131150400 has 168 divisors, whose sum is σ = 591834564360. Its totient is φ = 91910307840.

The previous prime is 235131150377. The next prime is 235131150421. The reversal of 235131150400 is 4051131532.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3015327744 + 232115822656 = 54912^2 + 481784^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21788206 + ... + 21798994.

Almost surely, 2235131150400 is an apocalyptic number.

235131150400 is a gapful number since it is divisible by the number (20) 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 235131150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295917282180).

235131150400 is an abundant number, since it is smaller than the sum of its proper divisors (356703413960).

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

235131150400 is a wasteful number, since it uses less digits than its factorization.

235131150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11121 (or 11106 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 235131150400 its reverse (4051131532), we get a palindrome (239182281932).

The spelling of 235131150400 in words is "two hundred thirty-five billion, one hundred thirty-one million, one hundred fifty thousand, four hundred".