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23290200209232 = 24321167853257273
BaseRepresentation
bin1010100101110101011000…
…00111000011011101010000
310001110112002002121212011100
411102322230013003131100
511023041312223143412
6121311211551144400
74622442605244645
oct522725407033520
9101415062555140
1023290200209232
11746a355931180
122741968b15100
13ccc344583678
145a737496bdcc
152a5c71776edc
hex152eac1c3750

23290200209232 has 240 divisors, whose sum is σ = 72251850460608. Its totient is φ = 6944121169920.

The previous prime is 23290200209201. The next prime is 23290200209327.

23290200209232 is a `hidden beast` number, since 232 + 90 + 200 + 20 + 92 + 32 = 666.

23290200209232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×232902002092322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90398548 + ... + 90655820.

Almost surely, 223290200209232 is an apocalyptic number.

23290200209232 is a gapful number since it is divisible by the number (22) 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 23290200209232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36125925230304).

23290200209232 is an abundant number, since it is smaller than the sum of its proper divisors (48961650251376).

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

23290200209232 is a wasteful number, since it uses less digits than its factorization.

23290200209232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258218 (or 258209 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

It can be divided in two parts, 23290200 and 209232, that added together give a palindrome (23499432).

The spelling of 23290200209232 in words is "twenty-three trillion, two hundred ninety billion, two hundred million, two hundred nine thousand, two hundred thirty-two".