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234233424100 = 225213180179557
BaseRepresentation
bin1101101000100101100…
…1100110100011100100
3211101121010111210222201
43122021121212203210
512314202224032400
6255334431104244
722631344153114
oct3321131464344
9741533453881
10234233424100
1190379730435
1239490372084
131911b793640
14b4a0883044
15615da8106a
hex36896668e4

234233424100 has 36 divisors (see below), whose sum is σ = 547385497204. Its totient is φ = 86486186880.

The previous prime is 234233424037. The next prime is 234233424149. The reversal of 234233424100 is 1424332432.

It can be written as a sum of positive squares in 6 ways, for example, as 91571601664 + 142661822436 = 302608^2 + 377706^2 .

It is a super-2 number, since 2×2342334241002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90088479 + ... + 90091078.

Almost surely, 2234233424100 is an apocalyptic number.

234233424100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234233424100 is an abundant number, since it is smaller than the sum of its proper divisors (313152073104).

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

234233424100 is a wasteful number, since it uses less digits than its factorization.

234233424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180179584 (or 180179577 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 234233424100 its reverse (1424332432), we get a palindrome (235657756532).

The spelling of 234233424100 in words is "two hundred thirty-four billion, two hundred thirty-three million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 180179557 360359114 720718228 900897785 1801795570 2342334241 3603591140 4504488925 4684668482 9008977850 9369336964 11711671205 18017955700 23423342410 46846684820 58558356025 117116712050 234233424100