| Base | Representation |
|---|---|
| bin | 10010000110110… |
| … | …11000011110000 |
| 3 | 101120210220221100 |
| 4 | 21003123003300 |
| 5 | 302341022313 |
| 6 | 23023324400 |
| 7 | 3523030266 |
| oct | 1103330360 |
| 9 | 346726840 |
| 10 | 151892208 |
| 11 | 78814956 |
| 12 | 42a50700 |
| 13 | 25612260 |
| 14 | 1625c436 |
| 15 | d505173 |
| hex | 90db0f0 |
151892208 has 120 divisors (see below), whose sum is σ = 469188720. Its totient is φ = 45573120.
The previous prime is 151892201. The next prime is 151892287. The reversal of 151892208 is 802298151.
151892208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1518922082 = 46142485702230528, which 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 not an unprimeable number, because it can be changed into a prime (151892201) 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, 75763 + ... + 77741.
It is an arithmetic number, because the mean of its divisors is an integer number (3909906).
Almost surely, 2151892208 is an apocalyptic number.
151892208 is a gapful number since it is divisible by the number (18) 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 151892208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234594360).
151892208 is an abundant number, since it is smaller than the sum of its proper divisors (317296512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
151892208 is a wasteful number, since it uses less digits than its factorization.
151892208 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2047 (or 2038 counting only the distinct ones).
The product of its (nonzero) digits is 11520, while the sum is 36.
The square root of 151892208 is about 12324.4556877779. The cubic root of 151892208 is about 533.5541453718.
It can be divided in two parts, 151892 and 208, that added together give a square (152100 = 3902).
The spelling of 151892208 in words is "one hundred fifty-one million, eight hundred ninety-two thousand, two hundred eight".
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