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352102400232 = 233112177990281
BaseRepresentation
bin1010001111110101111…
…00000100000011101000
31020122211121210012022020
411013322330010003220
521232101203301412
6425430440224440
734303266010002
oct5077274040350
91218747705266
10352102400232
11126364697800
12582a646b120
1327284319b2b
1413082b85372
15925b8e218c
hex51faf040e8

352102400232 has 192 divisors, whose sum is σ = 1037448518400. Its totient is φ = 99149107200.

The previous prime is 352102400197. The next prime is 352102400239. The reversal of 352102400232 is 232004201253.

It is a super-2 number, since 2×3521024002322 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (352102400239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3854932 + ... + 3945212.

It is an arithmetic number, because the mean of its divisors is an integer number (5403377700).

Almost surely, 2352102400232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352102400232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518724259200).

352102400232 is an abundant number, since it is smaller than the sum of its proper divisors (685346118168).

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

352102400232 is a wasteful number, since it uses less digits than its factorization.

352102400232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90408 (or 90393 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 352102400232 its reverse (232004201253), we get a palindrome (584106601485).

The spelling of 352102400232 in words is "three hundred fifty-two billion, one hundred two million, four hundred thousand, two hundred thirty-two".