Base | Representation |
---|---|
bin | 1000011001000100… |
… | …1100110110100000 |
3 | 12210222202210010220 |
4 | 2012101030312200 |
5 | 14103134443112 |
6 | 1011310123040 |
7 | 106552155204 |
oct | 20621146640 |
9 | 5728683126 |
10 | 2252656032 |
11 | a56624900 |
12 | 52a4b0480 |
13 | 29b909983 |
14 | 175266b04 |
15 | d2b6d98c |
hex | 8644cda0 |
2252656032 has 144 divisors (see below), whose sum is σ = 6624102240. Its totient is φ = 669560320.
The previous prime is 2252656031. The next prime is 2252656033. The reversal of 2252656032 is 2306562522.
It is an interprime number because it is at equal distance from previous prime (2252656031) and next prime (2252656033).
It is a super-3 number, since 3×22526560323 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a junction number, because it is equal to n+sod(n) for n = 2252655984 and 2252656002.
It is not an unprimeable number, because it can be changed into a prime (2252656031) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613819 + ... + 617477.
It is an arithmetic number, because the mean of its divisors is an integer number (46000710).
Almost surely, 22252656032 is an apocalyptic number.
2252656032 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 2252656032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312051120).
2252656032 is an abundant number, since it is smaller than the sum of its proper divisors (4371446208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2252656032 is a wasteful number, since it uses less digits than its factorization.
2252656032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3747 (or 3728 counting only the distinct ones).
The product of its (nonzero) digits is 43200, while the sum is 33.
The square root of 2252656032 is about 47462.1536805906. The cubic root of 2252656032 is about 1310.8861071662.
The spelling of 2252656032 in words is "two billion, two hundred fifty-two million, six hundred fifty-six thousand, thirty-two".
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